2.3.0 Integrals 4701 to 4800

Integrals 4701 to 4800

Giac [F(-2)]

Exception generated. $\int (f + g x)^{2} \sqrt{d - c^{2} d x^{2}} (a + b \arccos (c x)) d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $2$

Giac [F(-2)]

Exception generated. $\int (f + g x) \sqrt{d - c^{2} d x^{2}} (a + b \arccos (c x)) d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $3$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{d - c^{2} d x^{2}} (a + b \arccos (c x))}{f + g x} d x = Exception raised: TypeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $4$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{d - c^{2} d x^{2}} (a + b \arccos (c x))}{(f + g x)^{2}} d x = Exception raised: TypeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $5$

Giac [F(-2)]

Exception generated. $\int (f + g x)^{3} {(d - c^{2} d x^{2})}^{3 / 2} (a + b \arccos (c x)) d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $6$

Giac [F(-2)]

Exception generated. $\int (f + g x)^{2} {(d - c^{2} d x^{2})}^{3 / 2} (a + b \arccos (c x)) d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $7$

Giac [F(-2)]

Exception generated. $\int (f + g x) {(d - c^{2} d x^{2})}^{3 / 2} (a + b \arccos (c x)) d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $8$

Giac [F(-2)]

Exception generated. $\int \frac{{(d - c^{2} d x^{2})}^{3 / 2} (a + b \arccos (c x))}{f + g x} d x = Exception raised: TypeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $9$

Giac [F(-2)]

Exception generated. $\int (f + g x)^{3} {(d - c^{2} d x^{2})}^{5 / 2} (a + b \arccos (c x)) d x = Exception raised: RuntimeError$ Input:

integrate((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x, algorithm="g 
iac")

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $10$

Giac [F(-2)]

Exception generated. $\int (f + g x)^{2} {(d - c^{2} d x^{2})}^{5 / 2} (a + b \arccos (c x)) d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $11$

Giac [F(-2)]

Exception generated. $\int (f + g x) {(d - c^{2} d x^{2})}^{5 / 2} (a + b \arccos (c x)) d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $12$

Giac [F(-2)]

Exception generated. $\int \frac{{(d - c^{2} d x^{2})}^{5 / 2} (a + b \arccos (c x))}{f + g x} d x = Exception raised: TypeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $13$

Giac [F(-2)]

Exception generated. $\int \frac{(f + g x)^{3} (a + b \arccos (c x))}{\sqrt{d - c^{2} d x^{2}}} d x = Exception raised: RuntimeError$ Input:

integrate((g*x+f)^3*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm="g 
iac")

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $14$

Giac [F(-2)]

Exception generated. $\int \frac{(f + g x)^{2} (a + b \arccos (c x))}{\sqrt{d - c^{2} d x^{2}}} d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $15$

Giac [F(-2)]

Exception generated. $\int \frac{(f + g x) (a + b \arccos (c x))}{\sqrt{d - c^{2} d x^{2}}} d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $16$

Giac [F(-2)]

Exception generated. $\int \frac{a + b \arccos (c x)}{(f + g x) \sqrt{d - c^{2} d x^{2}}} d x = Exception raised: TypeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $17$

Giac [F(-2)]

Exception generated. $\int \frac{a + b \arccos (c x)}{(f + g x)^{2} \sqrt{d - c^{2} d x^{2}}} d x = Exception raised: RuntimeError$ Input:

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

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/5.2_Inverse_cosine/275_5.2.5

Test ﬁle number $275$

Integral number in ﬁle $18$

Giac [F(-2)]

Exception generated. $\int x^{3} \sqrt{c + a^{2} c x^{2}} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x^3*(a^2*c*x^2+c)^(1/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $200$

Giac [F(-2)]

Exception generated. $\int x \sqrt{c + a^{2} c x^{2}} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(1/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $202$

Giac [F(-2)]

Exception generated. $\int \sqrt{c + a^{2} c x^{2}} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $203$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)}{x} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $204$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)}{x^{2}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $205$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)}{x^{3}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $206$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)}{x^{4}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)/x^4,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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $207$

Giac [F(-2)]

Exception generated. $\int x^{3} {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x^3*(a^2*c*x^2+c)^(3/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $208$

Giac [F(-2)]

Exception generated. $\int x {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(3/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $210$

Giac [F(-2)]

Exception generated. $\int {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $211$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)}{x} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $212$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)}{x^{2}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $213$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)}{x^{3}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $214$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)}{x^{4}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)/x^4,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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $215$

Giac [F(-2)]

Exception generated. $\int x^{3} {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x^3*(a^2*c*x^2+c)^(5/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $216$

Giac [F(-2)]

Exception generated. $\int x {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(5/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $218$

Giac [F(-2)]

Exception generated. $\int {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $219$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)}{x} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $220$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)}{x^{2}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $221$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)}{x^{3}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $222$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)}{x^{4}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)/x^4,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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $223$

Giac [F(-2)]

Exception generated. $\int \frac{x^{3} \arctan (a x)}{\sqrt{c + a^{2} c x^{2}}} d x = Exception raised: TypeError$ Input:

integrate(x^3*arctan(a*x)/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $224$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)}{x^{2} \sqrt{c + a^{2} c x^{2}}} d x = Exception raised: TypeError$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionsym2poly/r2sym(const gen & e,const index_m & i,const vecte 
ur & l) E

input ﬁle name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $229$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)}{x^{4} \sqrt{c + a^{2} c x^{2}}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)/x^4/(a^2*c*x^2+c)^(1/2),x, algorithm="giac")

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionindex.cc index_m i_lex_is_greater Error: Bad Argument Valu 
e

input ﬁle name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $231$

Giac [F(-2)]

Exception generated. $\int \frac{x^{3} \arctan (a x)}{{(c + a^{2} c x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ Input:

integrate(x^3*arctan(a*x)/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $232$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)}{x^{2} {(c + a^{2} c x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)/x^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $237$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)}{x^{4} {(c + a^{2} c x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)/x^4/(a^2*c*x^2+c)^(3/2),x, algorithm="giac")

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionindex.c 
c index_m

input ﬁle name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $239$

Giac [F(-2)]

Exception generated. $\int \frac{x^{5} \arctan (a x)}{{(c + a^{2} c x^{2})}^{5 / 2}} d x = Exception raised: TypeError$ Input:

integrate(x^5*arctan(a*x)/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $240$

Giac [F(-2)]

Exception generated. $\int \frac{x^{3} \arctan (a x)}{{(c + a^{2} c x^{2})}^{5 / 2}} d x = Exception raised: TypeError$ Input:

integrate(x^3*arctan(a*x)/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $242$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)}{x^{2} {(c + a^{2} c x^{2})}^{5 / 2}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)/x^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $247$

Giac [F(-2)]

Exception generated. $\int x^{m} {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x^m*(a^2*c*x^2+c)^(5/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $253$

Giac [F(-2)]

Exception generated. $\int x^{m} {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x^m*(a^2*c*x^2+c)^(3/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $254$

Giac [F(-2)]

Exception generated. $\int x^{m} \sqrt{c + a^{2} c x^{2}} \arctan (a x) d x = Exception raised: TypeError$ Input:

integrate(x^m*(a^2*c*x^2+c)^(1/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $255$

Giac [F(-2)]

Exception generated. $\int x^{3} \sqrt{c + a^{2} c x^{2}} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate(x^3*(a^2*c*x^2+c)^(1/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $307$

Giac [F(-2)]

Exception generated. $\int x \sqrt{c + a^{2} c x^{2}} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(1/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $309$

Giac [F(-2)]

Exception generated. $\int \sqrt{c + a^{2} c x^{2}} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $310$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)^{2}}{x} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $311$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)^{2}}{x^{2}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $312$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)^{2}}{x^{3}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $313$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)^{2}}{x^{4}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)^2/x^4,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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $314$

Giac [F(-2)]

Exception generated. $\int x^{3} {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate(x^3*(a^2*c*x^2+c)^(3/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $315$

Giac [F(-2)]

Exception generated. $\int x {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(3/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $317$

Giac [F(-2)]

Exception generated. $\int {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $318$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{2}}{x} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $319$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{2}}{x^{2}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $320$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{2}}{x^{3}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $321$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{2}}{x^{4}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^2/x^4,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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $322$

Giac [F(-2)]

Exception generated. $\int x^{3} {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate(x^3*(a^2*c*x^2+c)^(5/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $323$

Giac [F(-2)]

Exception generated. $\int x {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(5/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $325$

Giac [F(-2)]

Exception generated. $\int {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $326$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{2}}{x} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $327$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{2}}{x^{2}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $328$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{2}}{x^{3}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)^2/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $329$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{2}}{x^{4}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(a*x)^2/x^4,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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $330$

Giac [F(-2)]

Exception generated. $\int \frac{x^{3} \arctan (a x)^{2}}{\sqrt{c + a^{2} c x^{2}}} d x = Exception raised: TypeError$ Input:

integrate(x^3*arctan(a*x)^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $331$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)^{2}}{x^{2} \sqrt{c + a^{2} c x^{2}}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)^2/x^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $336$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)^{2}}{x^{4} \sqrt{c + a^{2} c x^{2}}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)^2/x^4/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $338$

Giac [F(-2)]

Exception generated. $\int \frac{x^{3} \arctan (a x)^{2}}{{(c + a^{2} c x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ Input:

integrate(x^3*arctan(a*x)^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $339$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)^{2}}{x^{2} {(c + a^{2} c x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)^2/x^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $344$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)^{2}}{x^{4} {(c + a^{2} c x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)^2/x^4/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $346$

Giac [F(-2)]

Exception generated. $\int \frac{x^{5} \arctan (a x)^{2}}{{(c + a^{2} c x^{2})}^{5 / 2}} d x = Exception raised: TypeError$ Input:

integrate(x^5*arctan(a*x)^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $347$

Giac [F(-2)]

Exception generated. $\int \frac{x^{3} \arctan (a x)^{2}}{{(c + a^{2} c x^{2})}^{5 / 2}} d x = Exception raised: TypeError$ Input:

integrate(x^3*arctan(a*x)^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $349$

Giac [F(-2)]

Exception generated. $\int \frac{x^{2} \arctan (a x)^{2}}{{(c + a^{2} c x^{2})}^{5 / 2}} d x = Exception raised: TypeError$ Input:

integrate(x^2*arctan(a*x)^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $350$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)^{2}}{{(c + a^{2} c x^{2})}^{5 / 2}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $352$

Giac [F(-2)]

Exception generated. $\int \frac{\arctan (a x)^{2}}{x^{2} {(c + a^{2} c x^{2})}^{5 / 2}} d x = Exception raised: TypeError$ Input:

integrate(arctan(a*x)^2/x^2/(a^2*c*x^2+c)^(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $354$

Giac [F(-2)]

Exception generated. $\int x^{m} {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate(x^m*(a^2*c*x^2+c)^(3/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $359$

Giac [F(-2)]

Exception generated. $\int x^{m} \sqrt{c + a^{2} c x^{2}} \arctan (a x)^{2} d x = Exception raised: TypeError$ Input:

integrate(x^m*(a^2*c*x^2+c)^(1/2)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $360$

Giac [F(-2)]

Exception generated. $\int x^{3} \sqrt{c + a^{2} c x^{2}} \arctan (a x)^{3} d x = Exception raised: TypeError$ Input:

integrate(x^3*(a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $412$

Giac [F(-2)]

Exception generated. $\int x \sqrt{c + a^{2} c x^{2}} \arctan (a x)^{3} d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $414$

Giac [F(-2)]

Exception generated. $\int \sqrt{c + a^{2} c x^{2}} \arctan (a x)^{3} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $415$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)^{3}}{x} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)^3/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $416$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)^{3}}{x^{2}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)^3/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $417$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)^{3}}{x^{3}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)^3/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $418$

Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + a^{2} c x^{2}} \arctan (a x)^{3}}{x^{4}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(a*x)^3/x^4,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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $419$

Giac [F(-2)]

Exception generated. $\int x^{3} {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{3} d x = Exception raised: TypeError$ Input:

integrate(x^3*(a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $420$

Giac [F(-2)]

Exception generated. $\int x {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{3} d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $422$

Giac [F(-2)]

Exception generated. $\int {(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{3} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $423$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{3}}{x} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^3/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $424$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{3}}{x^{2}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^3/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $425$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{3}}{x^{3}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^3/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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $426$

Giac [F(-2)]

Exception generated. $\int \frac{{(c + a^{2} c x^{2})}^{3 / 2} \arctan (a x)^{3}}{x^{4}} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(a*x)^3/x^4,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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $427$

Giac [F(-2)]

Exception generated. $\int x {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{3} d x = Exception raised: TypeError$ Input:

integrate(x*(a^2*c*x^2+c)^(5/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $429$

Giac [F(-2)]

Exception generated. $\int {(c + a^{2} c x^{2})}^{5 / 2} \arctan (a x)^{3} d x = Exception raised: TypeError$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test ﬁle number $279$

Integral number in ﬁle $430$

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