Integrals 4901 to 5000

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsin-c_x-^n.txt

Test file number \(143\)

Integral number in file \(665\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsin-c_x-^n.txt

Test file number \(143\)

Integral number in file \(666\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsin-c_x-^n.txt

Test file number \(143\)

Integral number in file \(689\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found %i

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsin-c_x-^n.txt

Test file number \(143\)

Integral number in file \(693\)

Maxima [F(-2)]

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

[In]

integrate(1/(e*x^2+d)/(a+b*arcsin(c*x))^(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsin-c_x-^n.txt

Test file number \(143\)

Integral number in file \(698\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(6\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(7\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(14\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(15\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(34\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(35\)

Maxima [F(-2)]

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

[In]

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(39\)

Maxima [F(-2)]

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

[In]

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(43\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(c*x))^2*(-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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(61\)

Maxima [F(-2)]

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

[In]

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(65\)

Maxima [F(-2)]

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

[In]

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(69\)

Maxima [F(-2)]

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

[In]

integrate((g*x+f)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(92\)

Maxima [F(-2)]

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

[In]

integrate((g*x+f)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(93\)

Maxima [F(-2)]

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

[In]

integrate((h*x^2+g*x+f)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(101\)

Maxima [F(-2)]

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

[In]

integrate((h*x^2+g*x+f)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(102\)

Maxima [F(-2)]

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

[In]

integrate((i*x^3+h*x^2+g*x+f)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(110\)

Maxima [F(-2)]

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

[In]

integrate((i*x^3+h*x^2+g*x+f)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(111\)

Maxima [F(-2)]

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

[In]

integrate((g*x+f)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(113\)

Maxima [F(-2)]

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

[In]

integrate((g*x+f)^2*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(114\)

Maxima [F(-2)]

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

[In]

integrate((f*x^2+e*x+d)*(a+b*arcsin(c*x))^2/(h*x+g)^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(h-c*g>0)', see `assume?` for m
ore details)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(119\)

Maxima [F(-2)]

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

[In]

integrate((e*h*x^2+2*d*h*x+e*f)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(120\)

Maxima [F(-2)]

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

[In]

integrate((e*h*x^2+2*d*h*x+e*f)^2*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(121\)

Maxima [F(-2)]

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

[In]

integrate(arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(127\)

Maxima [F(-2)]

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

[In]

integrate(arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(128\)

Maxima [F(-2)]

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

[In]

integrate(arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(129\)

Maxima [F(-2)]

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

[In]

integrate(arcsin(b*x+a)/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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(130\)

Maxima [F(-2)]

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

[In]

integrate(arcsin(b*x+a)^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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(136\)

Maxima [F(-2)]

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

[In]

integrate(arcsin(b*x+a)^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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(137\)

Maxima [F(-2)]

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

[In]

integrate(arcsin(b*x+a)^3/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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(142\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(183\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(194\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(203\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(211\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(7/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(281\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(5/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(282\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(3/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(283\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(1/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(284\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(285\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(286\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(287\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(288\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^(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(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(289\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arcsin (c+d x)}{(c e+d e x)^{11/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^(11/2),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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(290\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(7/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(291\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(5/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(292\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(3/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(293\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(1/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(294\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(295\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(296\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(297\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(298\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^(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(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(299\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(1/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(300\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(301\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(302\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(303\)

Maxima [F(-2)]

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

[In]

integrate((d*e*x+c*e)^(1/2)*(a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(304\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(305\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(306\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(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 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(307\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(327\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(d*x^2+c))/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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(390\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(d*x^2+c))/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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(391\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(d*x^2+c))/x^7,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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(392\)

Maxima [F(-2)]

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

[In]

integrate(x^4*(a+b*arcsin(d*x^2+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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(393\)

Maxima [F(-2)]

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

[In]

integrate(x^2*(a+b*arcsin(d*x^2+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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(394\)

Maxima [F(-2)]

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

[In]

integrate(a+b*arcsin(d*x^2+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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(395\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(d*x^2+c))/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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(396\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsin(d*x^2+c))/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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(397\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arcsin \left (c+d x^2\right )}{x^6} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsin(d*x^2+c))/x^6,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(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(398\)

Maxima [F(-2)]

Exception generated. \[ \int \left (a+b \arcsin \left (1+d x^2\right )\right )^4 \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(401\)

Maxima [F(-2)]

Exception generated. \[ \int \left (a+b \arcsin \left (1+d x^2\right )\right )^3 \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(402\)

Maxima [F(-2)]

Exception generated. \[ \int \left (a+b \arcsin \left (1+d x^2\right )\right )^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(403\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(405\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(406\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(407\)

Maxima [F(-2)]

Exception generated. \[ \int \arcsin \left (1+x^2\right )^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arcsin(x^2+1)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(415\)

Maxima [F(-2)]

Exception generated. \[ \int \left (a+b \arcsin \left (1+d x^2\right )\right )^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(417\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(418\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(419\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(420\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(421\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(422\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b*arcsin(d*x^2+1))^(7/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt((-_SAGE_VAR_d*_SAGE
_VAR_x^2)-2)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(423\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arcsin \left (\sqrt {1+b x^2}\right )^n}{\sqrt {1+b x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt(-_SAGE_VAR_b)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(471\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {1+b x^2} \arcsin \left (\sqrt {1+b x^2}\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt(-_SAGE_VAR_b)

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(472\)

Maxima [F(-2)]

Exception generated. \[ \int x^4 \sqrt {\arccos (a x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(74\)

Maxima [F(-2)]

Exception generated. \[ \int x^3 \sqrt {\arccos (a x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(75\)

Maxima [F(-2)]

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

[In]

integrate(x^2*arccos(a*x)^(1/2),x, algorithm="maxima")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(76\)

Maxima [F(-2)]

Exception generated. \[ \int x \sqrt {\arccos (a x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*arccos(a*x)^(1/2),x, algorithm="maxima")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(77\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {\arccos (a x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arccos(a*x)^(1/2),x, algorithm="maxima")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(78\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\arccos (a x)}}{x} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arccos(a*x)^(1/2)/x,x, algorithm="maxima")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(79\)

Maxima [F(-2)]

Exception generated. \[ \int x^4 \arccos (a x)^{3/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4*arccos(a*x)^(3/2),x, algorithm="maxima")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(80\)

Maxima [F(-2)]

Exception generated. \[ \int x^3 \arccos (a x)^{3/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3*arccos(a*x)^(3/2),x, algorithm="maxima")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(81\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \arccos (a x)^{3/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*arccos(a*x)^(3/2),x, algorithm="maxima")

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(82\)