Integrals 3101 to 3200

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^2*sin(d*x+c)^3/(a+b*sin(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(74\)

Integral number in file \(1472\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^2*sin(d*x+c)^2/(a+b*sin(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(74\)

Integral number in file \(1473\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^2*sin(d*x+c)/(a+b*sin(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(74\)

Integral number in file \(1474\)

Maxima [F(-2)]

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

[In]

integrate(csc(d*x+c)*sec(d*x+c)^2/(a+b*sin(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(74\)

Integral number in file \(1475\)

Maxima [F(-2)]

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

[In]

integrate(csc(d*x+c)^2*sec(d*x+c)^2/(a+b*sin(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(74\)

Integral number in file \(1476\)

Maxima [F(-2)]

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

[In]

integrate(csc(d*x+c)^3*sec(d*x+c)^2/(a+b*sin(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(74\)

Integral number in file \(1477\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-^p-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(74\)

Integral number in file \(1519\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.2.3-g_sin-^p-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(75\)

Integral number in file \(39\)

Maxima [F(-2)]

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

[In]

integrate(sin(f*x+e)^2*(A+B*sin(f*x+e))/(a+b*sin(f*x+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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(16\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x)) (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(248\)

Maxima [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c+d*sin(f*x+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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(249\)

Maxima [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(250\)

Maxima [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(255\)

Maxima [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c+d*sin(f*x+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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(256\)

Maxima [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(257\)

Maxima [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(262\)

Maxima [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c+d*sin(f*x+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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(263\)

Maxima [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(264\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c+d \sin (e+f x))} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(269\)

Maxima [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c+d*sin(f*x+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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(270\)

Maxima [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c+d*sin(f*x+e))^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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(271\)

Maxima [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+e)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(276\)

Maxima [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(277\)

Maxima [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(278\)

Maxima [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+e)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(283\)

Maxima [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(284\)

Maxima [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(285\)

Maxima [F(-2)]

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

[In]

integrate((a+b*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c+d*sin(f*x+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(4*d^2-4*c^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.1_Sine/4.1.3.1-a+b_sin-^m-c+d_sin-^n-A+B_sin-.txt

Test file number \(76\)

Integral number in file \(352\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\csc ^5(c+d x)}{a+b \sin ^3(c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(csc(d*x+c)^5/(a+b*sin(d*x+c)^3),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(188\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\csc ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(csc(d*x+c)^4/(a+b*sin(d*x+c)^3),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(194\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sec ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(sec(d*x+c)^4/(a+b*sin(d*x+c)^3),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(392\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(399\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(400\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(401\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(402\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(403\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)}{a+b \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*cos(x))/(a+b*sin(x)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.8-a+b_sin-^m-c+d_trig-^n.txt

Test file number \(80\)

Integral number in file \(1\)

Maxima [F(-2)]

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

[In]

integrate((b+c+cos(x))/(a+b*sin(x)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.8-a+b_sin-^m-c+d_trig-^n.txt

Test file number \(80\)

Integral number in file \(4\)

Maxima [F(-2)]

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

[In]

integrate((b+c+cos(x))/(a-b*sin(x)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.8-a+b_sin-^m-c+d_trig-^n.txt

Test file number \(80\)

Integral number in file \(5\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (x)}{a+b \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*tan(x))/(a+b*sin(x)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.8-a+b_sin-^m-c+d_trig-^n.txt

Test file number \(80\)

Integral number in file \(6\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cot (x)}{a+b \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*cot(x))/(a+b*sin(x)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.8-a+b_sin-^m-c+d_trig-^n.txt

Test file number \(80\)

Integral number in file \(7\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \sec (x)}{a+b \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*sec(x))/(a+b*sin(x)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.8-a+b_sin-^m-c+d_trig-^n.txt

Test file number \(80\)

Integral number in file \(8\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \csc (x)}{a+b \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*csc(x))/(a+b*sin(x)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.1_Sine/4.1.8-a+b_sin-^m-c+d_trig-^n.txt

Test file number \(80\)

Integral number in file \(9\)

Maxima [F(-2)]

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

[In]

integrate(cos(x)^3/(a+b*sin(x)+c*sin(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(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 4_Trig_functions/4.1_Sine/4.1.9_trig^m-a+b_sin^n+c_sin^-2_n-^p.txt

Test file number \(81\)

Integral number in file \(9\)

Maxima [F(-2)]

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

[In]

integrate(cos(x)/(a+b*sin(x)+c*sin(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(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 4_Trig_functions/4.1_Sine/4.1.9_trig^m-a+b_sin^n+c_sin^-2_n-^p.txt

Test file number \(81\)

Integral number in file \(11\)

Maxima [F(-2)]

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

[In]

integrate(sec(x)/(a+b*sin(x)+c*sin(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(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 4_Trig_functions/4.1_Sine/4.1.9_trig^m-a+b_sin^n+c_sin^-2_n-^p.txt

Test file number \(81\)

Integral number in file \(12\)

Maxima [F(-2)]

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

[In]

integrate(sec(x)^3/(a+b*sin(x)+c*sin(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(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 4_Trig_functions/4.1_Sine/4.1.9_trig^m-a+b_sin^n+c_sin^-2_n-^p.txt

Test file number \(81\)

Integral number in file \(14\)

Maxima [F(-2)]

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

[In]

integrate((c*cos(b*x+a)^m)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: BINDING-STACK overflow at size 10240. Stack can probably be resize
d.Proceed with caution.

input file name 4_Trig_functions/4.2_Cosine/4.2.0-a_cos-^m-b_trg-^n.txt

Test file number \(82\)

Integral number in file \(59\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(185\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(186\)

Maxima [F(-2)]

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

[In]

integrate(x/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(187\)

Maxima [F(-2)]

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

[In]

integrate((f*x+e)/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(189\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(23\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(24\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(25\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(26\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(27\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(28\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(29\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(30\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(31\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(32\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(33\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 4_Trig_functions/4.2_Cosine/4.2.12-e_x-^m-a+b_cos-c+d_x^n-^p.txt

Test file number \(85\)

Integral number in file \(34\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.2-g_sin-^p-a+b_cos-^m.txt

Test file number \(86\)

Integral number in file \(24\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.2-g_sin-^p-a+b_cos-^m.txt

Test file number \(86\)

Integral number in file \(26\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \cos (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a+b*cos(x)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.2-g_sin-^p-a+b_cos-^m.txt

Test file number \(86\)

Integral number in file \(28\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.2-g_sin-^p-a+b_cos-^m.txt

Test file number \(86\)

Integral number in file \(30\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.2-g_sin-^p-a+b_cos-^m.txt

Test file number \(86\)

Integral number in file \(32\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.3-g_tan-^p-a+b_cos-^m.txt

Test file number \(88\)

Integral number in file \(10\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.3-g_tan-^p-a+b_cos-^m.txt

Test file number \(88\)

Integral number in file \(12\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.3-g_tan-^p-a+b_cos-^m.txt

Test file number \(88\)

Integral number in file \(15\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.1.3-g_tan-^p-a+b_cos-^m.txt

Test file number \(88\)

Integral number in file \(17\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: Memory limit reached. Please jump to an outer pointer, quit progra
m and enlarge thememory limits before executing the program again.

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(138\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(196\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^5/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(449\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^4/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(450\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^3/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(451\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^2/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(452\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(453\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(454\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(455\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^2/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(456\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^3/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(457\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^4/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(458\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^5/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(459\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^4/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(460\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^3/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(461\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^2/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(462\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(463\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(464\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(465\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^2/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(466\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^3/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(467\)

Maxima [F(-2)]

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

[In]

integrate(sec(d*x+c)^4/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(468\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^5/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(469\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^4/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(470\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^3/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(471\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)^2/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(472\)

Maxima [F(-2)]

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

[In]

integrate(cos(d*x+c)/(a+b*cos(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(4*b^2-4*a^2>0)', see `assume?`
 for more de

input file name 4_Trig_functions/4.2_Cosine/4.2.2.1-a+b_cos-^m-c+d_cos-^n.txt

Test file number \(89\)

Integral number in file \(473\)