Integrals 6201 to 6300

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \text {arccosh}(a x)^3}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(253\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \text {arccosh}(a x)^3}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(255\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \text {arccosh}(c x))}{d+e x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^4*(a+b*arccosh(c*x))/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(489\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \text {arccosh}(c x))}{d+e x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arccosh(c*x))/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(491\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{d+e x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(493\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{x^2 \left (d+e x^2\right )} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/x^2/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(495\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{x^4 \left (d+e x^2\right )} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/x^4/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(497\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x (a+b \text {arccosh}(c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*(a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(499\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \text {arccosh}(c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^4*(a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(502\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \text {arccosh}(c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(503\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(504\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{x^2 \left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/x^2/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(505\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \text {arccosh}(c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^4*(a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(511\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \text {arccosh}(c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(512\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(513\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {d+e x^2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))*(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(514\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(515\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e+c^2*d>0)', see `assume?` for
more detail

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(516\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^2}{d+e x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))^2/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(529\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {d+e x^2} (a+b \text {arccosh}(c x))^2 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))^2*(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(530\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^2}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))^2/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(531\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^2}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))^2/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e+c^2*d>0)', see `assume?` for
more detail

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(532\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b \text {arccosh}(c x)}}{d+e x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))^(1/2)/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(555\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^{3/2}}{d+e x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))^(3/2)/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(559\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)}{(d+e x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(c*x)/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(5\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)}{(d+e x)^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(c*x)/(e*x+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(6\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)}{(d+e x)^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(c*x)/(e*x+d)^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(7\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)^2}{(d+e x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(c*x)^2/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(12\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)^2}{(d+e x)^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(c*x)^2/(e*x+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(13\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{(d+e x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(18\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{(d+e x)^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))/(e*x+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(19\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^2}{(d+e x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))^2/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(25\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^2}{(d+e x)^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))^2/(e*x+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-c*d)*(e+c*d)>0)', see `assu
me?` for mor

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(26\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a x)}{\left (c+d x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(a*x)/(d*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(49\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a x)}{\left (c+d x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(a*x)/(d*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(50\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a x)}{\left (c+d x^2\right )^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(a*x)/(d*x^2+c)^(7/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(51\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a x)}{\left (c+d x^2\right )^{9/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(a*x)/(d*x^2+c)^(9/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(52\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(g-c*f>0)', see `assume?` for m
ore details)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(56\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))}{(f+g x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(g-c*f>0)', see `assume?` for m
ore details)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(57\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{3/2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(g-c*f>0)', see `assume?` for m
ore details)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(61\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{5/2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(g-c*f>0)', see `assume?` for m
ore details)

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(65\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a+b x)}{x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(b*x+a)/x^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(88\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a+b x)}{x^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(b*x+a)/x^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(89\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a+b x)}{x^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccosh(b*x+a)/x^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(90\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c+d x)}{(c e+d e x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(99\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(110\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(119\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(127\)

Maxima [F(-2)]

Exception generated. \[ \int (c e+d e x)^{7/2} (a+b \text {arccosh}(c+d x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((d*e*x+c*e)^(7/2)*(a+b*arccosh(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(198\)

Maxima [F(-2)]

Exception generated. \[ \int (c e+d e x)^{5/2} (a+b \text {arccosh}(c+d x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((d*e*x+c*e)^(5/2)*(a+b*arccosh(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(199\)

Maxima [F(-2)]

Exception generated. \[ \int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(200\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))*(d*e*x+c*e)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(201\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c+d x)}{\sqrt {c e+d e x}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(202\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c+d x)}{(c e+d e x)^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(203\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c+d x)}{(c e+d e x)^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(204\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c+d x)}{(c e+d e x)^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(7/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(205\)

Maxima [F(-2)]

Exception generated. \[ \int (c e+d e x)^{7/2} (a+b \text {arccosh}(c+d x))^2 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((d*e*x+c*e)^(7/2)*(a+b*arccosh(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(206\)

Maxima [F(-2)]

Exception generated. \[ \int (c e+d e x)^{5/2} (a+b \text {arccosh}(c+d x))^2 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((d*e*x+c*e)^(5/2)*(a+b*arccosh(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(207\)

Maxima [F(-2)]

Exception generated. \[ \int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x))^2 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(208\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^2 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^2*(d*e*x+c*e)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(209\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^2}{\sqrt {c e+d e x}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(210\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(211\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(212\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(7/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(213\)

Maxima [F(-2)]

Exception generated. \[ \int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x))^3 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(214\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^3 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^3*(d*e*x+c*e)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(215\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^3}{\sqrt {c e+d e x}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(216\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(217\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(218\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(7/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(219\)

Maxima [F(-2)]

Exception generated. \[ \int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x))^4 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(220\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^4 \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^4*(d*e*x+c*e)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(221\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^4}{\sqrt {c e+d e x}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(222\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(223\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(224\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(7/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(225\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arccosh}(a+b x)}}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(279\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arccosh}(a+b x)}}{x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(280\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arccosh}(a+b x)}}{x^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(281\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arccosh}(a+b x)}}{x^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(282\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arccosh}(a+b x)}}{x^5} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^5,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(283\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arctanh}(a x)^3}{x^2 \left (1-a^2 x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctanh(a*x)^3/x^2/(-a^2*x^2+1)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(278\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arctanh}(a x)^3}{x^2 \left (1-a^2 x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctanh(a*x)^3/x^2/(-a^2*x^2+1)^3,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(319\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arctanh}(x)}{a+b x+c x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arctanh(x)/(c*x^2+b*x+a),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(510\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arctanh}(d+e x)}{a+b x+c x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arctanh(e*x+d)/(c*x^2+b*x+a),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.5_u-a+b_arctanh-c+d_x-^p.txt

Test file number \(195\)

Integral number in file \(61\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arctanh}(a+b x)}}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(822\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arctanh}(a+b x)}}{x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/x^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(823\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arctanh}(a+b x)}}{x^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/x^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(824\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arctanh}(a+b x)}}{x^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/x^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(825\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{3 \text {arctanh}(a+b x)}}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(839\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{3 \text {arctanh}(a+b x)}}{x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/x^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(840\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{3 \text {arctanh}(a+b x)}}{x^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/x^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(841\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{3 \text {arctanh}(a+b x)}}{x^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/x^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(842\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-\text {arctanh}(a+b x)}}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(b*x+a+1)*(1-(b*x+a)^2)^(1/2)/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(847\)

Maxima [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2*(-a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(949\)

Maxima [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x*(-a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(950\)

Maxima [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(-a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(951\)

Maxima [F(-2)]

Exception generated. \[ \int e^{3 \text {arctanh}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^3*(-a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(1156\)

Maxima [F(-2)]

Exception generated. \[ \int e^{3 \text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^2*(-a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(1157\)

Maxima [F(-2)]

Exception generated. \[ \int e^{3 \text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x*(-a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(1158\)