Exception generated. \[ \int \cos ^3(2 (a+b x)) \sqrt {c \tan (a+b x) \tan (2 (a+b x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(2*b*x+2*a)^3*(c*tan(b*x+a)*tan(2*b*x+2*a))^(1/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(553\)
Exception generated. \[ \int (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(558\)
Exception generated. \[ \int \cos (2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(2*b*x+2*a)*(c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorithm= "giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(559\)
Exception generated. \[ \int \cos ^2(2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(2*b*x+2*a)^2*(c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(560\)
Exception generated. \[ \int \cos ^3(2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(2*b*x+2*a)^3*(c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(561\)
Exception generated. \[ \int \frac {\sec ^4(2 (a+b x))}{\sqrt {c \tan (a+b x) \tan (2 (a+b x))}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(sec(2*b*x+2*a)^4/(c*tan(b*x+a)*tan(2*b*x+2*a))^(1/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(562\)
Exception generated. \[ \int \frac {\sec ^3(2 (a+b x))}{\sqrt {c \tan (a+b x) \tan (2 (a+b x))}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(sec(2*b*x+2*a)^3/(c*tan(b*x+a)*tan(2*b*x+2*a))^(1/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(563\)
Exception generated. \[ \int \frac {\sec ^2(2 (a+b x))}{\sqrt {c \tan (a+b x) \tan (2 (a+b x))}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(sec(2*b*x+2*a)^2/(c*tan(b*x+a)*tan(2*b*x+2*a))^(1/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(564\)
Exception generated. \[ \int \frac {\sec (2 (a+b x))}{\sqrt {c \tan (a+b x) \tan (2 (a+b x))}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(sec(2*b*x+2*a)/(c*tan(b*x+a)*tan(2*b*x+2*a))^(1/2),x, algorithm= "giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(565\)
Exception generated. \[ \int \frac {1}{\sqrt {c \tan (a+b x) \tan (2 (a+b x))}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/(c*tan(b*x+a)*tan(2*b*x+2*a))^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(566\)
Exception generated. \[ \int \frac {\cos (2 (a+b x))}{\sqrt {c \tan (a+b x) \tan (2 (a+b x))}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(2*b*x+2*a)/(c*tan(b*x+a)*tan(2*b*x+2*a))^(1/2),x, algorithm= "giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(567\)
Exception generated. \[ \int \frac {\cos ^2(2 (a+b x))}{\sqrt {c \tan (a+b x) \tan (2 (a+b x))}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(2*b*x+2*a)^2/(c*tan(b*x+a)*tan(2*b*x+2*a))^(1/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(568\)
Exception generated. \[ \int \frac {\sec ^2(2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(sec(2*b*x+2*a)^2/(c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{%%%{%%{poly1[16,0]:[1,0,-2]%%},[2,8]%%%}+%%%{%%{poly1[64,0 ]:[1,0,-2
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(571\)
Exception generated. \[ \int \frac {\sec (2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(sec(2*b*x+2*a)/(c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorithm= "giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{%%%{%%{poly1[16,0]:[1,0,-2]%%},[2,8]%%%}+%%%{%%{poly1[64,0 ]:[1,0,-2
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(572\)
Exception generated. \[ \int \frac {1}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/(c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{%%%{%%{poly1[151519232,0]:[1,0,-2]%%},[13,44]%%%}+%%%{%%{[ 181914828
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(573\)
Exception generated. \[ \int \frac {\cos (2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(2*b*x+2*a)/(c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorithm= "giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{%%%{%%{poly1[635929065189015919425421978511412086759299071 667333220
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(574\)
Exception generated. \[ \int \frac {\cos ^2(2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(2*b*x+2*a)^2/(c*tan(b*x+a)*tan(2*b*x+2*a))^(3/2),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{%%%{%%{poly1[2,0]:[1,0,-2]%%},[0,4]%%%}+%%%{%%{poly1[4,0]: [1,0,-2]%
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(575\)
Exception generated. \[ \int \frac {\tan (c+d x)}{\sqrt {a \sin ^2(c+d x)}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(tan(d*x+c)/(a*sin(d*x+c)^2)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0
Test file number \(254\)
Integral number in file \(793\)
Exception generated. \[ \int (a \sin (c+d x)+b \tan (c+d x))^3 \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a*sin(d*x+c)+b*tan(d*x+c))^3,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Modgcd: no suitable evaluation poin tindex.cc index_m operator + Error: Bad Argument ValueDone
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/255_4.1
Test file number \(255\)
Integral number in file \(246\)
Exception generated. \[ \int \cos ^m(c+d x) (a \sin (c+d x)+b \tan (c+d x))^3 \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(cos(d*x+c)^m*(a*sin(d*x+c)+b*tan(d*x+c))^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{-1,[ 0,1,4]%%%}+%%%{-2,[0,1,2]%%%}+%%%{-1,[0,1,0]%%%} / %%%{1,[0,0,6]%%%}+%%%{- 3,[0,0,4]%%%
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/255_4.1
Test file number \(255\)
Integral number in file \(271\)
Exception generated. \[ \int \cos ^m(c+d x) (a \sin (c+d x)+b \tan (c+d x)) \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(cos(d*x+c)^m*(a*sin(d*x+c)+b*tan(d*x+c)),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{-1,[ 0,1,0]%%%} / %%%{1,[0,0,2]%%%}+%%%{-1,[0,0,0]%%%} Error: Bad Argument Valu e
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/255_4.1
Test file number \(255\)
Integral number in file \(273\)
Exception generated. \[ \int \sin ^3(a+b x) \sqrt {\sin (2 a+2 b x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(sin(b*x+a)^3*sin(2*b*x+2*a)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Warning, need to choose a branch fo r the root of a polynomial with parameters. This might be wrong.The choice was done
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2
Test file number \(256\)
Integral number in file \(500\)
Exception generated. \[ \int \cos ^3(a+b x) \sqrt {\sin (2 a+2 b x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(cos(b*x+a)^3*sin(2*b*x+2*a)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Warning, need to choose a branch fo r the root of a polynomial with parameters. This might be wrong.The choice was done
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2
Test file number \(256\)
Integral number in file \(587\)
Exception generated. \[ \int (c+d x)^2 \csc ^2(a+b x) \sec (a+b x) \, dx=\text {Exception raised: AttributeError} \] Input:
integrate((d*x+c)^2*csc(b*x+a)^2*sec(b*x+a),x, algorithm="giac")
Output:
Exception raised: AttributeError >> type
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3
Test file number \(257\)
Integral number in file \(236\)
Exception generated. \[ \int (c+d x)^2 \csc (a+b x) \sec ^2(a+b x) \, dx=\text {Exception raised: AttributeError} \] Input:
integrate((d*x+c)^2*csc(b*x+a)*sec(b*x+a)^2,x, algorithm="giac")
Output:
Exception raised: AttributeError >> type
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3
Test file number \(257\)
Integral number in file \(268\)
Exception generated. \[ \int \frac {\csc (a+b x) \sec ^2(a+b x)}{(c+d x)^2} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate(csc(b*x+a)*sec(b*x+a)^2/(d*x+c)^2,x, algorithm="giac")
Output:
Exception raised: AttributeError >> type
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3
Test file number \(257\)
Integral number in file \(271\)
Exception generated. \[ \int \frac {\csc ^3(a+b x) \sec ^3(a+b x)}{c+d x} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(csc(b*x+a)^3*sec(b*x+a)^3/(d*x+c),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Not invertible Error: Bad Argument Value
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3
Test file number \(257\)
Integral number in file \(326\)
Exception generated. \[ \int x^2 \sin ^3\left (a+\sqrt {-\frac {1}{n^2}} \log \left (c x^n\right )\right ) \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(x^2*sin(a+(-1/n^2)^(1/2)*log(c*x^n))^3,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: ((-9 *i)*sageVARn^4*sageVARx^3*exp((-3*i)*sageVARa)*exp((3*sageVARn*abs(sageVAR n)*ln(sageVARx)+3*abs(sageVARn)*ln(sageVARc))/sageVARn^2)+27*i*sageVARn^4* sageVARx^3*exp((-i)
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/259_4.5
Test file number \(259\)
Integral number in file \(41\)
Exception generated. \[ \int x \sin ^3\left (a+\frac {2}{3} \sqrt {-\frac {1}{n^2}} \log \left (c x^n\right )\right ) \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(x*sin(a+2/3*(-1/n^2)^(1/2)*log(c*x^n))^3,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: ((-9 *i)*sageVARn^4*sageVARx^2*exp((-3*i)*sageVARa)*exp((2*sageVARn*abs(sageVAR n)*ln(sageVARx)+2*abs(sageVARn)*ln(sageVARc))/sageVARn^2)+27*i*sageVARn^4* sageVARx^2*exp((-i)
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/259_4.5
Test file number \(259\)
Integral number in file \(42\)
Exception generated. \[ \int \sin ^3\left (a+\frac {1}{3} \sqrt {-\frac {1}{n^2}} \log \left (c x^n\right )\right ) \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(sin(a+1/3*(-1/n^2)^(1/2)*log(c*x^n))^3,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: ((-9 *i)*sageVARn^4*sageVARx*exp((-3*i)*sageVARa)*exp((sageVARn*abs(sageVARn)*l n(sageVARx)+abs(sageVARn)*ln(sageVARc))/sageVARn^2)+27*i*sageVARn^4*sageVA Rx*exp((-i)*sageVAR
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/259_4.5
Test file number \(259\)
Integral number in file \(43\)
Exception generated. \[ \int \cos ^3\left (a+\frac {1}{3} \sqrt {-\frac {1}{n^2}} \log \left (c x^n\right )\right ) \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(cos(a+1/3*(-1/n^2)^(1/2)*log(c*x^n))^3,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: (9*s ageVARn^4*sageVARx*exp((-3*i)*sageVARa)*exp((sageVARn*abs(sageVARn)*ln(sag eVARx)+abs(sageVARn)*ln(sageVARc))/sageVARn^2)+27*sageVARn^4*sageVARx*exp( (-i)*sageVARa)*exp(
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/259_4.5
Test file number \(259\)
Integral number in file \(109\)
Exception generated. \[ \int \frac {1}{\cos (5 x)+\sin (2 x)} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(1/(cos(5*x)+sin(2*x)),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 2*(- 1/28*ln(-sin(sageVARx)+1)+1/12*ln(sin(sageVARx)+1)-1/3*ln(abs(2*sin(sageVA Rx)-1))+((-7/32768*rootof([[-3,0,35840,0,-66060288],[1,0,-14336,0,51380224 ,0,-52613349376]])+
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/261_4.7
Test file number \(261\)
Integral number in file \(7\)
Exception generated. \[ \int \frac {1}{(\cos (5 x)+\sin (2 x))^3} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(1/(cos(5*x)+sin(2*x))^3,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 2*(( -3216*sin(sageVARx)^2-185*sin(sageVARx)+3374)*1/37044/(sin(sageVARx)^2-1)+ (154368*sin(sageVARx)^8+10337792*sin(sageVARx)^7+5628928*sin(sageVARx)^6-1 2202432*sin(sageVAR
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/261_4.7
Test file number \(261\)
Integral number in file \(8\)
Exception generated. \[ \int \frac {1}{(\cos (5 x)+\sin (2 x))^5} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(1/(cos(5*x)+sin(2*x))^5,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 2*(( -89077056*sin(sageVARx)^4-3291925*sin(sageVARx)^3+181375264*sin(sageVARx)^ 2+3343075*sin(sageVARx)-92347900)*1/196036848/(sin(sageVARx)^2-1)^2+(76012 4211200*sin(sageVAR
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/261_4.7
Test file number \(261\)
Integral number in file \(9\)
Exception generated. \[ \int \frac {1}{\cos (5 x)+\sin (4 x)} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(1/(cos(5*x)+sin(4*x)),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 2*(- 1/4*ln(-sin(sageVARx)+1)+1/36*ln(sin(sageVARx)+1)-1/9*ln(abs(2*sin(sageVAR x)-1))+((-1/98304*rootof([[-3,0,46080,0,-113246208],[1,0,-18432,0,84934656 ,0,-86973087744]])+
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/261_4.7
Test file number \(261\)
Integral number in file \(13\)
Exception generated. \[ \int \frac {1}{(\cos (5 x)+\sin (4 x))^3} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(1/(cos(5*x)+sin(4*x))^3,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 2*(( 11112*sin(sageVARx)^2-365*sin(sageVARx)-11476)*1/2916/(sin(sageVARx)^2-1)+ (-1066752*sin(sageVARx)^8+951040*sin(sageVARx)^7+1336768*sin(sageVARx)^6-1 185216*sin(sageVARx
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/261_4.7
Test file number \(261\)
Integral number in file \(14\)
Exception generated. \[ \int \frac {1}{(\cos (5 x)+\sin (4 x))^5} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(1/(cos(5*x)+sin(4*x))^5,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 2*(( 777430272*sin(sageVARx)^4-17980525*sin(sageVARx)^3-1572752288*sin(sageVARx )^2+18157675*sin(sageVARx)+795499160)*1/2834352/(sin(sageVARx)^2-1)^2+(-66 34071654400*sin(sag
input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/261_4.7
Test file number \(261\)
Integral number in file \(15\)
Exception generated. \[ \int e^{\arcsin (a x)} \left (1-a^2 x^2\right )^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(exp(arcsin(a*x))*(-a^2*x^2+1)^(5/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1
Test file number \(262\)
Integral number in file \(338\)
Exception generated. \[ \int e^{\arcsin (a x)} \left (1-a^2 x^2\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(exp(arcsin(a*x))*(-a^2*x^2+1)^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1
Test file number \(262\)
Integral number in file \(339\)
Exception generated. \[ \int e^{\arcsin (a x)} \sqrt {1-a^2 x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(exp(arcsin(a*x))*(-a^2*x^2+1)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1
Test file number \(262\)
Integral number in file \(340\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))/x,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(6\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^2/x,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(16\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^2/x^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(17\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{x^4} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^2/x^4,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(19\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^3}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^3/x,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(25\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^3}{x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^3/x^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(26\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^3}{x^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^3/x^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(27\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^3}{x^4} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^3/x^4,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(28\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^3}{x^5} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^3/x^5,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(29\)
Exception generated. \[ \int \frac {1}{x (a+b \arcsin (c x))} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(1/x/(a+b*arcsin(c*x)),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(44\)
Exception generated. \[ \int \frac {1}{x (a+b \arcsin (c x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(1/x/(a+b*arcsin(c*x))^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(51\)
Exception generated. \[ \int \frac {1}{x (a+b \arcsin (c x))^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(1/x/(a+b*arcsin(c*x))^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(58\)
Exception generated. \[ \int (d x)^{3/2} (a+b \arcsin (c x))^2 \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((d*x)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(73\)
Exception generated. \[ \int \sqrt {d x} (a+b \arcsin (c x))^2 \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((d*x)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(74\)
Exception generated. \[ \int (d x)^{3/2} (a+b \arcsin (c x))^3 \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((d*x)^(3/2)*(a+b*arcsin(c*x))^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(78\)
Exception generated. \[ \int \sqrt {d x} (a+b \arcsin (c x))^3 \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((d*x)^(1/2)*(a+b*arcsin(c*x))^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(79\)
Exception generated. \[ \int \frac {x^3}{\arcsin (a x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^3/arcsin(a*x)^(5/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(130\)
Exception generated. \[ \int \frac {x^3}{\arcsin (a x)^{7/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^3/arcsin(a*x)^(7/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(136\)
Exception generated. \[ \int \frac {1}{x (a+b \arcsin (c x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(1/x/(a+b*arcsin(c*x))^(3/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(164\)
Exception generated. \[ \int \frac {1}{x (a+b \arcsin (c x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(1/x/(a+b*arcsin(c*x))^(5/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2
Test file number \(264\)
Integral number in file \(169\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{d-c^2 d x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(4\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\left (d-c^2 d x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(5\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\left (d-c^2 d x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(6\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{d-c^2 d x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(10\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{\left (d-c^2 d x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(11\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^3}{d-c^2 d x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^3/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(15\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^3}{\left (d-c^2 d x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arcsin(c*x))^3/(-c^2*d*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(16\)
Exception generated. \[ \int \left (\pi -c^2 \pi x^2\right )^{5/2} (a+b \arcsin (c x)) \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-pi*c^2*x^2+pi)^(5/2)*(a+b*arcsin(c*x)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(37\)
Exception generated. \[ \int \left (\pi -c^2 \pi x^2\right )^{3/2} (a+b \arcsin (c x)) \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-pi*c^2*x^2+pi)^(3/2)*(a+b*arcsin(c*x)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(38\)
Exception generated. \[ \int \sqrt {\pi -c^2 \pi x^2} (a+b \arcsin (c x)) \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-pi*c^2*x^2+pi)^(1/2)*(a+b*arcsin(c*x)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(39\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\sqrt {\pi -c^2 \pi x^2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))/(-pi*c^2*x^2+pi)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(40\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\left (\pi -c^2 \pi x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))/(-pi*c^2*x^2+pi)^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(41\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\left (\pi -c^2 \pi x^2\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))/(-pi*c^2*x^2+pi)^(5/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(42\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\left (\pi -c^2 \pi x^2\right )^{7/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))/(-pi*c^2*x^2+pi)^(7/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(43\)
Exception generated. \[ \int \left (\pi -c^2 \pi x^2\right )^{3/2} (a+b \arcsin (c x))^2 \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-pi*c^2*x^2+pi)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(44\)
Exception generated. \[ \int \sqrt {\pi -c^2 \pi x^2} (a+b \arcsin (c x))^2 \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-pi*c^2*x^2+pi)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(45\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{\sqrt {\pi -c^2 \pi x^2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))^2/(-pi*c^2*x^2+pi)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(46\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{\left (\pi -c^2 \pi x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))^2/(-pi*c^2*x^2+pi)^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(47\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{\left (\pi -c^2 \pi x^2\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))^2/(-pi*c^2*x^2+pi)^(5/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(48\)
Exception generated. \[ \int \left (d-c^2 d x^2\right )^{5/2} (a+b \arcsin (c x)) \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(51\)
Exception generated. \[ \int \left (d-c^2 d x^2\right )^{3/2} (a+b \arcsin (c x)) \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(52\)
Exception generated. \[ \int \sqrt {d-c^2 d x^2} (a+b \arcsin (c x)) \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(53\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\left (d-c^2 d x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E rror: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(55\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\left (d-c^2 d x^2\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E rror: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(56\)
Exception generated. \[ \int \frac {a+b \arcsin (c x)}{\left (d-c^2 d x^2\right )^{7/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(7/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E rror: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(57\)
Exception generated. \[ \int \left (d-c^2 d x^2\right )^{3/2} (a+b \arcsin (c x))^2 \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(58\)
Exception generated. \[ \int \sqrt {d-c^2 d x^2} (a+b \arcsin (c x))^2 \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(59\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{\left (d-c^2 d x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E rror: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(61\)
Exception generated. \[ \int \frac {(a+b \arcsin (c x))^2}{\left (d-c^2 d x^2\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E rror: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(62\)
Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \arcsin (a x)^3 \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^3,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(63\)
Exception generated. \[ \int \sqrt {c-a^2 c x^2} \arcsin (a x)^3 \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^3,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(64\)
Exception generated. \[ \int \frac {\arcsin (a x)^3}{\left (c-a^2 c x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(arcsin(a*x)^3/(-a^2*c*x^2+c)^(5/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(67\)
Exception generated. \[ \int \frac {1}{\sqrt {d-c^2 d x^2} (a+b \arcsin (c x))} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(1/(-c^2*d*x^2+d)^(1/2)/(a+b*arcsin(c*x)),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(71\)
Exception generated. \[ \int \frac {1}{\sqrt {d-c^2 d x^2} (a+b \arcsin (c x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(1/(-c^2*d*x^2+d)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(77\)
Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \sqrt {\arcsin (a x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(102\)
Exception generated. \[ \int \sqrt {c-a^2 c x^2} \sqrt {\arcsin (a x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(103\)
Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \arcsin (a x)^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(107\)
Exception generated. \[ \int \sqrt {c-a^2 c x^2} \arcsin (a x)^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(3/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(108\)
Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \arcsin (a x)^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(5/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(112\)
Exception generated. \[ \int \sqrt {c-a^2 c x^2} \arcsin (a x)^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(5/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/265_5.1.3
Test file number \(265\)
Integral number in file \(113\)