Integrals 701 to 800

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{(3+3 \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+a*sin(f*x+e))^(5/2)/(c-c*sin(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

input file name 4_Trig_functions/4.1_Sine/4.1.2.1-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(73\)

Integral number in file \(403\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(3+3 \sin (e+f x))^m}{(c-c \sin (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(f*x+e))^m/(c-c*sin(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,1,0,0,0,0]%%%} / %%%{16,[0,0,0,1,1,1,1]%%%} Error
: Bad Argum

input file name 4_Trig_functions/4.1_Sine/4.1.2.1-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(73\)

Integral number in file \(415\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(3+3 \sin (e+f x))^m}{(c-c \sin (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(f*x+e))^m/(c-c*sin(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument Value

input file name 4_Trig_functions/4.1_Sine/4.1.2.1-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(73\)

Integral number in file \(416\)

Giac [F(-2)]

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

[In]

integrate(1/(a+a*sin(f*x+e))^(3/2)/(c+d*sin(f*x+e))^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[-384,0]:[1,0,-2]%%},[0]%%%},0]:[1,0,%%%{-1,[
1]%%%}]%%},

input file name 4_Trig_functions/4.1_Sine/4.1.2.1-a+b_sin-^m-c+d_sin-^n.txt

Test file number \(73\)

Integral number in file \(555\)

Giac [F(-2)]

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

[In]

integrate(cos(f*x+e)^2/(a+a*sin(f*x+e))^(3/2)/(c-c*sin(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(74\)

Integral number in file \(55\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cos ^2(e+f x)}{(a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cos(f*x+e)^2/(a+a*sin(f*x+e))^(5/2)/(c-c*sin(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(74\)

Integral number in file \(64\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cos ^2(e+f x) (a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cos(f*x+e)^2*(a+a*sin(f*x+e))^m/(c-c*sin(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument Value

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

Test file number \(74\)

Integral number in file \(78\)

Giac [F(-2)]

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

[In]

integrate((g*cos(f*x+e))^(3/2)/(a+a*sin(f*x+e))^(1/2)/(c-c*sin(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Value

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

Test file number \(74\)

Integral number in file \(130\)

Giac [F(-2)]

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

[In]

integrate((g*cos(f*x+e))^(3/2)/(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[-2692572175765579235328,0]:[1,0,%%%{-1,[1]%%
%}]%%},[2]%

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

Test file number \(74\)

Integral number in file \(131\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^4*csc(d*x+c)^3/(a+a*sin(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[37748736,0]:[1,0,-2]%%},[1]%%%},0]:[1,0,%%%{
-1,[1]%%%}]

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

Test file number \(74\)

Integral number in file \(468\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^5*sin(d*x+c)^n/(a+a*sin(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,3,0,0]%%%}+%%%{-1,[0,1,2,0,0]%%%}+%%%{-1,[0,1,1,0
,0]%%%}+%%%

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

Test file number \(74\)

Integral number in file \(568\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^5*sin(d*x+c)^n/(a+a*sin(d*x+c))^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0,0]%%%}+%%%{-2,[0,1,1,0,0]%%%}+%%%{1,[0,1,0,0,
0]%%%} / %%

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

Test file number \(74\)

Integral number in file \(569\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cos ^7(c+d x) \sin ^n(c+d x)}{a+a \sin (c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cos(d*x+c)^7*sin(d*x+c)^n/(a+a*sin(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[0,1,5,0,0]%%%}+%%%{1,[0,1,4,0,0]%%%}+%%%{2,[0,1,3,0,
0]%%%}+%%%{

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

Test file number \(74\)

Integral number in file \(700\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^7*sin(d*x+c)^n/(a+a*sin(d*x+c))^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[0,1,4,0,0]%%%}+%%%{2,[0,1,3,0,0]%%%}+%%%{-2,[0,1,1,0
,0]%%%}+%%%

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

Test file number \(74\)

Integral number in file \(701\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cos ^7(c+d x) \sin ^n(c+d x)}{(a+a \sin (c+d x))^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cos(d*x+c)^7*sin(d*x+c)^n/(a+a*sin(d*x+c))^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[0,1,3,0,0]%%%}+%%%{3,[0,1,2,0,0]%%%}+%%%{-3,[0,1,1,0
,0]%%%}+%%%

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

Test file number \(74\)

Integral number in file \(702\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\csc (e+f x)}{\sqrt {a+a \sin (e+f x)} \sqrt {c-c \sin (e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/sin(f*x+e)/(a+a*sin(f*x+e))^(1/2)/(c-c*sin(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(75\)

Integral number in file \(22\)

Giac [F(-2)]

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

[In]

integrate(1/(c+d*sin(f*x+e))/(g*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueD
one

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

Test file number \(75\)

Integral number in file \(28\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument Value

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

Test file number \(76\)

Integral number in file \(154\)

Giac [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(76\)

Integral number in file \(177\)

Giac [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2)/(c-c*sin(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(76\)

Integral number in file \(185\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2)/(c-c*sin(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(76\)

Integral number in file \(194\)

Giac [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,1,1,0,0,0,0,0]%%%}+%%%{1,[0,0,1,1,1,0,0,0,0]%%%}
/ %%%{16,[0

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

Test file number \(76\)

Integral number in file \(209\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument Value

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

Test file number \(76\)

Integral number in file \(210\)

Giac [F(-2)]

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

[In]

integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[268435456,0]:[1,0,-2]%%},[2]%%%},0]:[1,0,%%%
{-1,[1]%%%}

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

Test file number \(76\)

Integral number in file \(316\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^m \left (A+C \sin ^2(e+f x)\right )}{(c-c \sin (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,1,1,0,0,0,0,0]%%%}+%%%{1,[0,0,1,1,1,0,0,0,0]%%%}
/ %%%{16,[0

input file name 4_Trig_functions/4.1_Sine/4.1.4.2-a+b_sin-^m-c+d_sin-^n-A+B_sin+C_sin^2-.txt

Test file number \(78\)

Integral number in file \(5\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^m \left (A+C \sin ^2(e+f x)\right )}{(c-c \sin (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument Value

input file name 4_Trig_functions/4.1_Sine/4.1.4.2-a+b_sin-^m-c+d_sin-^n-A+B_sin+C_sin^2-.txt

Test file number \(78\)

Integral number in file \(6\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^m \left (A+B \sin (e+f x)+C \sin ^2(e+f x)\right )}{(c-c \sin (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,1,1,0,0,0,0,0,0]%%%}+%%%{1,[0,0,1,1,1,0,0,0,0,0]%
%%}+%%%{1,[

input file name 4_Trig_functions/4.1_Sine/4.1.4.2-a+b_sin-^m-c+d_sin-^n-A+B_sin+C_sin^2-.txt

Test file number \(78\)

Integral number in file \(22\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^m \left (A+B \sin (e+f x)+C \sin ^2(e+f x)\right )}{(c-c \sin (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument Value

input file name 4_Trig_functions/4.1_Sine/4.1.4.2-a+b_sin-^m-c+d_sin-^n-A+B_sin+C_sin^2-.txt

Test file number \(78\)

Integral number in file \(23\)

Giac [F(-2)]

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

[In]

integrate(csc(f*x+e)*(a+b*sin(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

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

Test file number \(79\)

Integral number in file \(124\)

Giac [F(-2)]

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

[In]

integrate(csc(f*x+e)*(a+b*sin(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

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

Test file number \(79\)

Integral number in file \(134\)

Giac [F(-2)]

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

[In]

integrate(csc(f*x+e)^3*(a+b*sin(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

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

Test file number \(79\)

Integral number in file \(135\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot (e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)/(a-a*sin(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(471\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^3(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^3/(a-a*sin(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(472\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^2/(a-a*sin(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(475\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^4(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^4/(a-a*sin(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(476\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^6(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^6/(a-a*sin(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(477\)

Giac [F(-2)]

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

[In]

integrate(cot(f*x+e)/(a-a*sin(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(481\)

Giac [F(-2)]

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

[In]

integrate(cot(f*x+e)^3/(a-a*sin(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(482\)

Giac [F(-2)]

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

[In]

integrate(cot(f*x+e)^2/(a-a*sin(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(484\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^4(e+f x)}{\left (a-a \sin ^2(e+f x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^4/(a-a*sin(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(485\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^6(e+f x)}{\left (a-a \sin ^2(e+f x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^6/(a-a*sin(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(486\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^8(e+f x)}{\left (a-a \sin ^2(e+f x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^8/(a-a*sin(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + Error: Bad Argument Value

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

Test file number \(79\)

Integral number in file \(487\)

Giac [F(-2)]

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

[In]

integrate((a+b*sin(f*x+e)^2)^(3/2)*tan(f*x+e)^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

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

Test file number \(79\)

Integral number in file \(500\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(89\)

Integral number in file \(128\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(89\)

Integral number in file \(129\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(89\)

Integral number in file \(130\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(89\)

Integral number in file \(137\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(89\)

Integral number in file \(138\)

Giac [F(-2)]

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

[In]

integrate(sec(d*x+c)/(a+a*cos(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(89\)

Integral number in file \(144\)

Giac [F(-2)]

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

[In]

integrate(sec(d*x+c)^2/(a+a*cos(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(89\)

Integral number in file \(145\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^m/(a+a*cos(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,0]%%%} / %%%{2,[0,0,1]%%%} Error: Bad Argument Va
lue

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

Test file number \(89\)

Integral number in file \(401\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^m/(a+a*cos(d*x+c))^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0]%%%}+%%%{1,[0,1,0,0]%%%} / %%%{4,[0,0,0,2]%%%
} Error: Ba

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

Test file number \(89\)

Integral number in file \(402\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^4*(A+B*cos(d*x+c))/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[-27222589353675077077069968594541456916480,0
]:[1,0,-2]%

input file name 4_Trig_functions/4.2_Cosine/4.2.3.1-a+b_cos-^m-c+d_cos-^n-A+B_cos-.txt

Test file number \(92\)

Integral number in file \(107\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^3*(A+B*cos(d*x+c))/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[2475880078570760549798248448,0]:[1,0,-2]%%},
[10]%%%},0]

input file name 4_Trig_functions/4.2_Cosine/4.2.3.1-a+b_cos-^m-c+d_cos-^n-A+B_cos-.txt

Test file number \(92\)

Integral number in file \(108\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^2*(A+B*cos(d*x+c))/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[-54043195528445952,0]:[1,0,-2]%%},[6]%%%},0]
:[1,0,%%%{-

input file name 4_Trig_functions/4.2_Cosine/4.2.3.1-a+b_cos-^m-c+d_cos-^n-A+B_cos-.txt

Test file number \(92\)

Integral number in file \(109\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)*(A+B*cos(d*x+c))/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[268435456,0]:[1,0,-2]%%},[2]%%%},0]:[1,0,%%%
{-1,[1]%%%}

input file name 4_Trig_functions/4.2_Cosine/4.2.3.1-a+b_cos-^m-c+d_cos-^n-A+B_cos-.txt

Test file number \(92\)

Integral number in file \(110\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

input file name 4_Trig_functions/4.2_Cosine/4.2.3.1-a+b_cos-^m-c+d_cos-^n-A+B_cos-.txt

Test file number \(92\)

Integral number in file \(113\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(A+B \cos (c+d x)) \sec ^3(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*cos(d*x+c))*sec(d*x+c)^3/(a+a*cos(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

input file name 4_Trig_functions/4.2_Cosine/4.2.3.1-a+b_cos-^m-c+d_cos-^n-A+B_cos-.txt

Test file number \(92\)

Integral number in file \(122\)

Giac [F(-2)]

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

[In]

integrate((c*cos(f*x+e))^m*(A+B*cos(f*x+e))/(a+b*cos(f*x+e)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[0,1,0,0]%%%} / %%%{1,[0,0,1,0]%%%}+%%%{-1,[0,0,0,1]%
%%} Error:

input file name 4_Trig_functions/4.2_Cosine/4.2.3.1-a+b_cos-^m-c+d_cos-^n-A+B_cos-.txt

Test file number \(92\)

Integral number in file \(454\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(A+B \cos (e+f x)) (c \sec (e+f x))^m}{a+b \cos (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*cos(f*x+e))*(c*sec(f*x+e))^m/(a+b*cos(f*x+e)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[0,1,0,0]%%%} / %%%{1,[0,0,1,0]%%%}+%%%{-1,[0,0,0,1]%
%%} Error:

input file name 4_Trig_functions/4.2_Cosine/4.2.3.1-a+b_cos-^m-c+d_cos-^n-A+B_cos-.txt

Test file number \(92\)

Integral number in file \(640\)

Giac [F(-2)]

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

[In]

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(a+a*cos(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(107\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^4(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^4/(a+a*cos(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(109\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[-27222589353675077077069968594541456916480,0
]:[1,0,-2]%

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(111\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[2475880078570760549798248448,0]:[1,0,-2]%%},
[10]%%%},0]

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(112\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[-54043195528445952,0]:[1,0,-2]%%},[6]%%%},0]
:[1,0,%%%{-

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(113\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(116\)

Giac [F(-2)]

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

[In]

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater Error: Bad Argument Value

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(125\)

Giac [F(-2)]

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

[In]

integrate((B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[268435456,0]:[1,0,-2]%%},[2]%%%},0]:[1,0,%%%
{-1,[1]%%%}

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(281\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[-27222589353675077077069968594541456916480,0
]:[1,0,-2]%

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(410\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[2475880078570760549798248448,0]:[1,0,-2]%%},
[10]%%%},0]

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(411\)

Giac [F(-2)]

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

[In]

integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[-54043195528445952,0]:[1,0,-2]%%},[6]%%%},0]
:[1,0,%%%{-

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(412\)

Giac [F(-2)]

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

[In]

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{%%{[268435456,0]:[1,0,-2]%%},[2]%%%},0]:[1,0,%%%
{-1,[1]%%%}

input file name 4_Trig_functions/4.2_Cosine/4.2.4.2-a+b_cos-^m-c+d_cos-^n-A+B_cos+C_cos^2-.txt

Test file number \(94\)

Integral number in file \(413\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeDone

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(59\)

Giac [F(-2)]

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

[In]

integrate(sin(b*x+a)^3*(d*tan(b*x+a))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeThe choice was done assuming 0=[0,0]
ext_reduce

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(69\)

Giac [F(-2)]

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

[In]

integrate(sin(b*x+a)*(d*tan(b*x+a))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeThe choice was done assuming 0=[0,0]
ext_reduce

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(70\)

Giac [F(-2)]

Exception generated. \[ \int \sin ^3(a+b x) (d \tan (a+b x))^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sin(b*x+a)^3*(d*tan(b*x+a))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeThe choice was done assuming 0=[0,0]
ext_reduce

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(78\)

Giac [F(-2)]

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

[In]

integrate(sin(b*x+a)*(d*tan(b*x+a))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeDone

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(79\)

Giac [F(-2)]

Exception generated. \[ \int (a \sin (e+f x))^{5/2} \sqrt {b \tan (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*sin(f*x+e))^(5/2)*(b*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(114\)

Giac [F(-2)]

Exception generated. \[ \int (a \sin (e+f x))^{3/2} \sqrt {b \tan (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*sin(f*x+e))^(3/2)*(b*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(115\)

Giac [F(-2)]

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

[In]

integrate((a*sin(f*x+e))^(1/2)*(b*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(116\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a \sin (e+f x)} (b \tan (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*sin(f*x+e))^(1/2)*(b*tan(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(122\)

Giac [F(-2)]

Exception generated. \[ \int (b \sin (e+f x))^{4/3} \sqrt {d \tan (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((b*sin(f*x+e))^(4/3)*(d*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(145\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt [3]{b \sin (e+f x)} \sqrt {d \tan (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((b*sin(f*x+e))^(1/3)*(d*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(146\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d \tan (e+f x)}}{\sqrt [3]{b \sin (e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*tan(f*x+e))^(1/2)/(b*sin(f*x+e))^(1/3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(147\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d \tan (e+f x)}}{(b \sin (e+f x))^{4/3}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*tan(f*x+e))^(1/2)/(b*sin(f*x+e))^(4/3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(148\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt [3]{b \sin (e+f x)} (d \tan (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((b*sin(f*x+e))^(1/3)*(d*tan(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(150\)

Giac [F(-2)]

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

[In]

integrate((d*tan(f*x+e))^(3/2)/(b*sin(f*x+e))^(1/3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(151\)

Giac [F(-2)]

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

[In]

integrate((d*tan(f*x+e))^(3/2)/(b*sin(f*x+e))^(4/3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(152\)

Giac [F(-2)]

Exception generated. \[ \int \cos ^3(e+f x) \sqrt {d \tan (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cos(f*x+e)^3*(d*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeDone

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(234\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeThe choice was done assuming 0=[0,0]
ext_reduce

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(244\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeThe choice was done assuming 0=[0,0]
ext_reduce

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(245\)

Giac [F(-2)]

Exception generated. \[ \int \cos ^5(a+b x) (d \tan (a+b x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cos(b*x+a)^5*(d*tan(b*x+a))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]ext_reduce Error: Bad Argument TypeThe choice was done assuming 0=[0,0]
ext_reduce

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(246\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^6(a+b x) (d \tan (a+b x))^n \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(b*x+a)^6*(d*tan(b*x+a))^n,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,4,0,0]%%%}+%%%{2,[0,1,2,2,0]%%%}+%%%{1,[0,1,0,4,0
]%%%} / %%%

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(363\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^4(a+b x) (d \tan (a+b x))^n \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(b*x+a)^4*(d*tan(b*x+a))^n,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0,0]%%%}+%%%{1,[0,1,0,2,0]%%%} / %%%{1,[0,0,3,0
,1]%%%} Err

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(364\)

Giac [F(-2)]

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

[In]

integrate(sec(b*x+a)^2*(d*tan(b*x+a))^n,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,0,0]%%%} / %%%{1,[0,0,1,1]%%%} Error: Bad Argumen
t Value

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(365\)

Giac [F(-2)]

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

[In]

integrate((e*sec(d*x+c))^(1/2)*(a+I*a*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[2,0]%%%}+%%%{%%{[-2,0]:[1,0,%%%{1,[1]%%%}]%%},[1,0]%
%%}+%%%{%%%

input file name 4_Trig_functions/4.3_Tangent/4.3.1.2-d_sec-^m-a+b_tan-^n.txt

Test file number \(101\)

Integral number in file \(188\)

Giac [F(-2)]

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

[In]

integrate((e*sec(d*x+c))^(1/2)*(a+I*a*tan(d*x+c))^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[2,0]%%%}+%%%{%%{[-2,0]:[1,0,%%%{1,[1]%%%}]%%},[1,0]%
%%}+%%%{%%%

input file name 4_Trig_functions/4.3_Tangent/4.3.1.2-d_sec-^m-a+b_tan-^n.txt

Test file number \(101\)

Integral number in file \(194\)

Giac [F(-2)]

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

[In]

integrate((e*sec(d*x+c))^(1/2)*(a+I*a*tan(d*x+c))^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[2,0]%%%}+%%%{%%{[-2,0]:[1,0,%%%{1,[1]%%%}]%%},[1,0]%
%%}+%%%{%%%

input file name 4_Trig_functions/4.3_Tangent/4.3.1.2-d_sec-^m-a+b_tan-^n.txt

Test file number \(101\)

Integral number in file \(204\)

Giac [F(-2)]

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

[In]

integrate((e*sec(d*x+c))^(1/2)*(a+I*a*tan(d*x+c))^4,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[2,0]%%%}+%%%{%%{[-2,0]:[1,0,%%%{1,[1]%%%}]%%},[1,0]%
%%}+%%%{%%%

input file name 4_Trig_functions/4.3_Tangent/4.3.1.2-d_sec-^m-a+b_tan-^n.txt

Test file number \(101\)

Integral number in file \(214\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^6(c+d x) (a+b \tan (c+d x))^n \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(d*x+c)^6*(a+b*tan(d*x+c))^n,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,4,0,0,0]%%%}+%%%{2,[0,1,2,2,0,0]%%%}+%%%{-4,[0,1,
2,1,1,0]%%%

input file name 4_Trig_functions/4.3_Tangent/4.3.1.2-d_sec-^m-a+b_tan-^n.txt

Test file number \(101\)

Integral number in file \(646\)