2.1.16 Integrals 1501 to 1600

2.1.16.1 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.2-d_x-^m-a+b_arcsinh-c_x-^n.txt

Test file number \(186\)

Integral number in file \(149\)

2.1.16.2 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arcsinh}(c x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.2-d_x-^m-a+b_arcsinh-c_x-^n.txt

Test file number \(186\)

Integral number in file \(150\)

2.1.16.3 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arcsinh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.2-d_x-^m-a+b_arcsinh-c_x-^n.txt

Test file number \(186\)

Integral number in file \(151\)

2.1.16.4 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arcsinh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.2-d_x-^m-a+b_arcsinh-c_x-^n.txt

Test file number \(186\)

Integral number in file \(152\)

2.1.16.5 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arcsinh}(c x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(c*x))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.2-d_x-^m-a+b_arcsinh-c_x-^n.txt

Test file number \(186\)

Integral number in file \(153\)

2.1.16.6 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arcsinh(c*x))^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.2-d_x-^m-a+b_arcsinh-c_x-^n.txt

Test file number \(186\)

Integral number in file \(154\)

2.1.16.7 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arcsinh(c*x))^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.2-d_x-^m-a+b_arcsinh-c_x-^n.txt

Test file number \(186\)

Integral number in file \(155\)

2.1.16.8 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arcsinh}(c x))^{7/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(c*x))^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.2-d_x-^m-a+b_arcsinh-c_x-^n.txt

Test file number \(186\)

Integral number in file \(156\)

2.1.16.9 Fricas [F(-2)]

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

[In]

integrate(x^3*(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(462\)

2.1.16.10 Fricas [F(-2)]

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

[In]

integrate(x^2*(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(463\)

2.1.16.11 Fricas [F(-2)]

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

[In]

integrate(x*(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(464\)

2.1.16.12 Fricas [F(-2)]

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

[In]

integrate((c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(465\)

2.1.16.13 Fricas [F(-2)]

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

[In]

integrate((c^2*d*x^2+d)/x/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(466\)

2.1.16.14 Fricas [F(-2)]

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

[In]

integrate(x^3*(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(467\)

2.1.16.15 Fricas [F(-2)]

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

[In]

integrate(x^2*(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(468\)

2.1.16.16 Fricas [F(-2)]

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

[In]

integrate(x*(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(469\)

2.1.16.17 Fricas [F(-2)]

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

[In]

integrate((c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(470\)

2.1.16.18 Fricas [F(-2)]

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

[In]

integrate((c^2*d*x^2+d)^2/x/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(471\)

2.1.16.19 Fricas [F(-2)]

Exception generated. \[ \int \left (c+a^2 c x^2\right )^{3/2} \sqrt {\text {arcsinh}(a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(472\)

2.1.16.20 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {c+a^2 c x^2} \sqrt {\text {arcsinh}(a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(473\)

2.1.16.21 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(474\)

2.1.16.22 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(475\)

2.1.16.23 Fricas [F(-2)]

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

[In]

integrate(arcsinh(a*x)^(1/2)/(a^2*c*x^2+c)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(476\)

2.1.16.24 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)^(3/2)*arcsinh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(477\)

2.1.16.25 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {c+a^2 c x^2} \text {arcsinh}(a x)^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(478\)

2.1.16.26 Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {arcsinh}(a x)^{3/2}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(479\)

2.1.16.27 Fricas [F(-2)]

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

[In]

integrate(arcsinh(a*x)^(3/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(480\)

2.1.16.28 Fricas [F(-2)]

Exception generated. \[ \int \left (c+a^2 c x^2\right )^{3/2} \text {arcsinh}(a x)^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*c*x^2+c)^(3/2)*arcsinh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(481\)

2.1.16.29 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {c+a^2 c x^2} \text {arcsinh}(a x)^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arcsinh(a*x)^(5/2)*(a^2*c*x^2+c)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(482\)

2.1.16.30 Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {arcsinh}(a x)^{5/2}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arcsinh(a*x)^(5/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(483\)

2.1.16.31 Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {arcsinh}(a x)^{5/2}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arcsinh(a*x)^(5/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(484\)

2.1.16.32 Fricas [F(-2)]

Exception generated. \[ \int \left (a^2+x^2\right )^{3/2} \sqrt {\text {arcsinh}\left (\frac {x}{a}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2+x^2)^(3/2)*arcsinh(x/a)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(485\)

2.1.16.33 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a^2+x^2} \sqrt {\text {arcsinh}\left (\frac {x}{a}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2+x^2)^(1/2)*arcsinh(x/a)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(486\)

2.1.16.34 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\text {arcsinh}\left (\frac {x}{a}\right )}}{\left (a^2+x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arcsinh(x/a)^(1/2)/(a^2+x^2)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(488\)

2.1.16.35 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\text {arcsinh}\left (\frac {x}{a}\right )}}{\left (a^2+x^2\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arcsinh(x/a)^(1/2)/(a^2+x^2)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(489\)

2.1.16.36 Fricas [F(-2)]

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

[In]

integrate((a^2+x^2)^(3/2)*arcsinh(x/a)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(490\)

2.1.16.37 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a^2+x^2} \text {arcsinh}\left (\frac {x}{a}\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arcsinh(x/a)^(3/2)*(a^2+x^2)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(491\)

2.1.16.38 Fricas [F(-2)]

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

[In]

integrate(arcsinh(x/a)^(3/2)/(a^2+x^2)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(493\)

2.1.16.39 Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {1+x^2} \sqrt {\text {arcsinh}(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/(x^2+1)^(1/2)/arcsinh(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(494\)

2.1.16.40 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)^(5/2)/arcsinh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(495\)

2.1.16.41 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(496\)

2.1.16.42 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(497\)

2.1.16.43 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c+a^2 c x^2} \sqrt {\text {arcsinh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(498\)

2.1.16.44 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^{3/2} \sqrt {\text {arcsinh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(499\)

2.1.16.45 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^{5/2} \sqrt {\text {arcsinh}(a x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^(5/2)/arcsinh(a*x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(500\)

2.1.16.46 Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^{5/2}}{\text {arcsinh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*c*x^2+c)^(5/2)/arcsinh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(501\)

2.1.16.47 Fricas [F(-2)]

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

[In]

integrate((a^2*c*x^2+c)^(3/2)/arcsinh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(502\)

2.1.16.48 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+a^2 c x^2}}{\text {arcsinh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(503\)

2.1.16.49 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^{3/2} \text {arcsinh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(505\)

2.1.16.50 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^{5/2} \text {arcsinh}(a x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^(5/2)/arcsinh(a*x)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(506\)

2.1.16.51 Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (c+a^2 c x^2\right )^{3/2}}{\text {arcsinh}(a x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*c*x^2+c)^(3/2)/arcsinh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(507\)

2.1.16.52 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+a^2 c x^2}}{\text {arcsinh}(a x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*c*x^2+c)^(1/2)/arcsinh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(508\)

2.1.16.53 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^{3/2} \text {arcsinh}(a x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^(3/2)/arcsinh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(510\)

2.1.16.54 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c+a^2 c x^2\right )^{5/2} \text {arcsinh}(a x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a^2*c*x^2+c)^(5/2)/arcsinh(a*x)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(511\)

2.1.16.55 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(629\)

2.1.16.56 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(630\)

2.1.16.57 Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a+b \text {arcsinh}(c x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arcsinh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(631\)

2.1.16.58 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(632\)

2.1.16.59 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(633\)

2.1.16.60 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(634\)

2.1.16.61 Fricas [F(-2)]

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

[In]

integrate((a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(635\)

2.1.16.62 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(636\)

2.1.16.63 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(637\)

2.1.16.64 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(638\)

2.1.16.65 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(639\)

2.1.16.66 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b \text {arcsinh}(c x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(c*x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(640\)

2.1.16.67 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (d+e x^2\right ) \sqrt {a+b \text {arcsinh}(c x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(641\)

2.1.16.68 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (d+e x^2\right )^2 \sqrt {a+b \text {arcsinh}(c x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(642\)

2.1.16.69 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(643\)

2.1.16.70 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arcsinh}(c x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(644\)

2.1.16.71 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (d+e x^2\right ) (a+b \text {arcsinh}(c x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(645\)

2.1.16.72 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (d+e x^2\right )^2 (a+b \text {arcsinh}(c x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsinh-c_x-^n.txt

Test file number \(187\)

Integral number in file \(646\)

2.1.16.73 Fricas [F(-2)]

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

[In]

integrate(x^2*(a+b*arcsinh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(98\)

2.1.16.74 Fricas [F(-2)]

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

[In]

integrate(x*(a+b*arcsinh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(99\)

2.1.16.75 Fricas [F(-2)]

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

[In]

integrate((a+b*arcsinh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(100\)

2.1.16.76 Fricas [F(-2)]

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

[In]

integrate(x*(a+b*arcsinh(d*x+c))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(101\)

2.1.16.77 Fricas [F(-2)]

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

[In]

integrate((a+b*arcsinh(d*x+c))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(102\)

2.1.16.78 Fricas [F(-2)]

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

[In]

integrate(x*(a+b*arcsinh(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(103\)

2.1.16.79 Fricas [F(-2)]

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

[In]

integrate((a+b*arcsinh(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(104\)

2.1.16.80 Fricas [F(-2)]

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

[In]

integrate(x^2/(a+b*arcsinh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(105\)

2.1.16.81 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arcsinh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(106\)

2.1.16.82 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b \text {arcsinh}(c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(107\)

2.1.16.83 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arcsinh(d*x+c))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(108\)

2.1.16.84 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arcsinh}(c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(d*x+c))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(109\)

2.1.16.85 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arcsinh(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(110\)

2.1.16.86 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arcsinh}(c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(111\)

2.1.16.87 Fricas [F(-2)]

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

[In]

integrate(x/(a+b*arcsinh(d*x+c))^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(112\)

2.1.16.88 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \text {arcsinh}(c+d x))^{7/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arcsinh(d*x+c))^(7/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(113\)

2.1.16.89 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(180\)

2.1.16.90 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(181\)

2.1.16.91 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(182\)

2.1.16.92 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(183\)

2.1.16.93 Fricas [F(-2)]

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

[In]

integrate((a+b*arcsinh(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(184\)

2.1.16.94 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(185\)

2.1.16.95 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(186\)

2.1.16.96 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(187\)

2.1.16.97 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(188\)

2.1.16.98 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(189\)

2.1.16.99 Fricas [F(-2)]

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

[In]

integrate((a+b*arcsinh(d*x+c))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(190\)

2.1.16.100 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/7.1.5_Inverse_hyperbolic_sine_functions.txt

Test file number \(188\)

Integral number in file \(191\)