Integrals 801 to 900

[next] [prev] [prev-tail] [tail] [up]

2.3.9 Integrals 801 to 900

2.3.9.1 Giac [F(-2)]

Exception generated. $\int \sec^{4} (c + d x) (a + b \tan (c + d x))^{n} d x = Exception raised: TypeError$

[In]

integrate(sec(d*x+c)^4*(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,[0,1,2,0,0,0]%%%}+%%%{1,[0,1,0,2,0,0]%%%}+%%%{-2,[0,1,

0,1,1,0]%%%

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 $647$

2.3.9.2 Giac [F(-2)]

Exception generated. $\int \sec^{2} (c + d x) (a + b \tan (c + d x))^{n} d x = Exception raised: TypeError$

[In]

integrate(sec(d*x+c)^2*(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,[0,1,0,0]%%%} / %%%{1,[0,0,1,1]%%%} Error: Bad Argumen

t Value

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 $648$

2.3.9.3 Giac [F(-2)]

Exception generated. $\int \frac{a + i a \tan (c + d x)}{\sqrt{e \cos (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))/(e*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:Unable to divide, perhaps due to rounding error%%%{%%{[%%%{-4,[1]%%%},0]:[1,0,%%%{1,[1]%%%}]%%},[2,1]%%%}+%

%%{%%%{8,[2

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 $659$

2.3.9.4 Giac [F(-2)]

Exception generated. $\int \tan^{\frac{5}{2}} (c + d x) \sqrt{a + i a \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by -40, a substitution variable should perhaps be pu

rged.Warnin

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $186$

2.3.9.5 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by -72, a substitution variable should perhaps be pu

rged.Warnin

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $187$

2.3.9.6 Giac [F(-2)]

Exception generated. $\int \sqrt{\tan (c + d x)} \sqrt{a + i a \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by -63, a substitution variable should perhaps be pu

rged.Warnin

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $188$

2.3.9.7 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{a + i a \tan (c + d x)}}{\sqrt{\tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-38]Warning, replacing -38 by 97, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $189$

2.3.9.8 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-71]Warning, replacing -71 by 16, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $190$

2.3.9.9 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{a + i a \tan (c + d x)}}{\tan^{\frac{5}{2}} (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-96]Warning, replacing -96 by 32, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $191$

2.3.9.10 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{a + i a \tan (c + d x)}}{\tan^{\frac{7}{2}} (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(7/2),x, algorithm="giac")

[Out]

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

UT:Non regular value [0] was discarded and replaced randomly by 0=[80]Warning, replacing 80 by -69, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $192$

2.3.9.11 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(5/2)*(a+I*a*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by -35, a substitution variable should perhaps be pu

rged.Warnin

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $193$

2.3.9.12 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by -42, a substitution variable should perhaps be pu

rged.Warnin

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $194$

2.3.9.13 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by 77, a substitution variable should perhaps be pur

ged.Warning

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $195$

2.3.9.14 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-86]Warning, replacing -86 by -35, a substi

tution vari

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $196$

2.3.9.15 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[37]Warning, replacing 37 by 69, a substitut

ion variabl

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $197$

2.3.9.16 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-32]Warning, replacing -32 by 97, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $198$

2.3.9.17 Giac [F(-2)]

Exception generated. $\int \frac{(a + i a \tan (c + d x))^{3 / 2}}{\tan^{\frac{7}{2}} (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)/tan(d*x+c)^(7/2),x, algorithm="giac")

[Out]

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

UT:Non regular value [0] was discarded and replaced randomly by 0=[45]Warning, replacing 45 by 19, a substitut

ion variabl

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $199$

2.3.9.18 Giac [F(-2)]

Exception generated. $\int \frac{(a + i a \tan (c + d x))^{3 / 2}}{\tan^{\frac{9}{2}} (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)/tan(d*x+c)^(9/2),x, algorithm="giac")

[Out]

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

UT:Non regular value [0] was discarded and replaced randomly by 0=[26]Warning, replacing 26 by -41, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $200$

2.3.9.19 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(5/2)*(a+I*a*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by -99, a substitution variable should perhaps be pu

rged.Warnin

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $201$

2.3.9.20 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by -86, a substitution variable should perhaps be pu

rged.Warnin

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $202$

2.3.9.21 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(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:The choice was done assuming 0=[0]Warning, replacing 0 by -64, a substitution variable should perhaps be pu

rged.Warnin

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $203$

2.3.9.22 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-32]Warning, replacing -32 by -82, a substi

tution vari

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $204$

2.3.9.23 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[89]Warning, replacing 89 by -23, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $205$

2.3.9.24 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)/tan(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:Non regular value [0] was discarded and replaced randomly by 0=[16]Warning, replacing 16 by -68, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $206$

2.3.9.25 Giac [F(-2)]

Exception generated. $\int \frac{(a + i a \tan (c + d x))^{5 / 2}}{\tan^{\frac{7}{2}} (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)/tan(d*x+c)^(7/2),x, algorithm="giac")

[Out]

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

UT:Non regular value [0] was discarded and replaced randomly by 0=[17]Warning, replacing 17 by -43, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $207$

2.3.9.26 Giac [F(-2)]

Exception generated. $\int \frac{(a + i a \tan (c + d x))^{5 / 2}}{\tan^{\frac{9}{2}} (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)/tan(d*x+c)^(9/2),x, algorithm="giac")

[Out]

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

UT:Non regular value [0] was discarded and replaced randomly by 0=[48]Warning, replacing 48 by 64, a substitut

ion variabl

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $208$

2.3.9.27 Giac [F(-2)]

Exception generated. $\int \frac{(a + i a \tan (c + d x))^{5 / 2}}{\tan^{\frac{11}{2}} (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)/tan(d*x+c)^(11/2),x, algorithm="giac")

[Out]

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

UT:Non regular value [0] was discarded and replaced randomly by 0=[-64]Warning, replacing -64 by 68, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $209$

2.3.9.28 Giac [F(-2)]

Exception generated. $\int \frac{\tan^{\frac{7}{2}} (c + d x)}{\sqrt{a + i a \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(7/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[84]Warning, replacing 84 by -86, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $210$

2.3.9.29 Giac [F(-2)]

Exception generated. $\int \frac{\tan^{\frac{5}{2}} (c + d x)}{\sqrt{a + i a \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(5/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-12]Warning, replacing -12 by -71, a substi

tution vari

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $211$

2.3.9.30 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(3/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-18]Warning, replacing -18 by -46, a substi

tution vari

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $212$

2.3.9.31 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{\tan (c + d x)}}{\sqrt{a + i a \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(1/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[60]Warning, replacing 60 by -66, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $213$

2.3.9.32 Giac [F(-2)]

Exception generated. $\int \frac{\tan^{\frac{7}{2}} (c + d x)}{(a + i a \tan (c + d x))^{3 / 2}} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(7/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-8]Warning, replacing -8 by -96, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $218$

2.3.9.33 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(5/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-98]Warning, replacing -98 by 69, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $219$

2.3.9.34 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(3/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-1]Non regular value [0] was discarded and

replaced ra

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $220$

2.3.9.35 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(1/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-63]Warning, replacing -63 by 61, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $221$

2.3.9.36 Giac [F(-2)]

Exception generated. $\int \frac{\tan^{\frac{9}{2}} (c + d x)}{(a + i a \tan (c + d x))^{5 / 2}} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(9/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-3]Warning, replacing -3 by -93, a substitu

tion variab

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $225$

2.3.9.37 Giac [F(-2)]

Exception generated. $\int \frac{\tan^{\frac{7}{2}} (c + d x)}{(a + i a \tan (c + d x))^{5 / 2}} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(7/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-85]Warning, replacing -85 by 11, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $226$

2.3.9.38 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(5/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-36]Warning, replacing -36 by 25, a substit

ution varia

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $227$

2.3.9.39 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(3/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[46]Warning, replacing 46 by 18, a substitut

ion variabl

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $228$

2.3.9.40 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(1/2)/(a+I*a*tan(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:Non regular value [0] was discarded and replaced randomly by 0=[-21]Warning, replacing -21 by -65, a substi

tution vari

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $229$

2.3.9.41 Giac [F(-2)]

Exception generated. $\int \frac{1}{\sqrt[3]{\tan (c + d x)} \sqrt{a + i a \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(1/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(1/3),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 [sageVARa,t_nostep]=[63,-86]Precision problem choosing root in common_EXT, cur

rent precis

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $263$

2.3.9.42 Giac [F(-2)]

Exception generated. $\int \frac{1}{\tan^{\frac{2}{3}} (c + d x) \sqrt{a + i a \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(1/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(2/3),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 [sageVARa,t_nostep]=[93,-22]Precision problem choosing root in common_EXT, cur

rent precis

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $264$

2.3.9.43 Giac [F(-2)]

Exception generated. $\int \frac{1}{\tan^{\frac{4}{3}} (c + d x) \sqrt{a + i a \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(1/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(4/3),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 [sageVARa,t_nostep]=[89,-63]Precision problem choosing root in common_EXT, cur

rent precis

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $265$

2.3.9.44 Giac [F(-2)]

Exception generated. $\int \frac{1}{\sqrt[3]{\tan (c + d x)} (a + i a \tan (c + d x))^{3 / 2}} d x = Exception raised: TypeError$

[In]

integrate(1/tan(d*x+c)^(1/3)/(a+I*a*tan(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:The choice was done assuming [sageVARa,t_nostep]=[33,-80]Precision problem choosing root in common_EXT, cur

rent precis

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $269$

2.3.9.45 Giac [F(-2)]

Exception generated. $\int \frac{1}{\tan^{\frac{2}{3}} (c + d x) (a + i a \tan (c + d x))^{3 / 2}} d x = Exception raised: TypeError$

[In]

integrate(1/tan(d*x+c)^(2/3)/(a+I*a*tan(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:The choice was done assuming [sageVARa,t_nostep]=[-33,18]Precision problem choosing root in common_EXT, cur

rent precis

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $270$

2.3.9.46 Giac [F(-2)]

Exception generated. $\int \frac{1}{\tan^{\frac{4}{3}} (c + d x) (a + i a \tan (c + d x))^{3 / 2}} d x = Exception raised: TypeError$

[In]

integrate(1/tan(d*x+c)^(4/3)/(a+I*a*tan(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:The choice was done assuming [sageVARa,t_nostep]=[79,3]Precision problem choosing root in common_EXT, curre

nt precisio

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $271$

2.3.9.47 Giac [F(-2)]

Exception generated. $\int \cot^{3} (c + d x) \sqrt[3]{a + i a \tan (c + d x)} d x = Exception raised: TypeError$

[In]

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

[Out]

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

UT:Not invertible Error: Bad Argument Value

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $278$

2.3.9.48 Giac [F(-2)]

Exception generated. $\int \frac{1}{(d \tan (e + f x))^{5 / 2} (a + a \tan (e + f x))} d x = Exception raised: RuntimeError$

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Not invertible Er

ror: Bad Argument Value

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $363$

2.3.9.49 Giac [F(-2)]

Exception generated. $\int \frac{(d \tan (e + f x))^{9 / 2}}{(a + a \tan (e + f x))^{3}} d x = Exception raised: TypeError$

[In]

integrate((d*tan(f*x+e))^(9/2)/(a+a*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:Not invertible Error: Bad Argument Value

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $370$

2.3.9.50 Giac [F(-2)]

Exception generated. $\int \sqrt{a + b \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate((a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $507$

2.3.9.51 Giac [F(-2)]

Exception generated. $\int \cot (c + d x) \sqrt{a + b \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)*(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $508$

2.3.9.52 Giac [F(-2)]

Exception generated. $\int \cot^{3} (c + d x) \sqrt{a + b \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)^3*(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $510$

2.3.9.53 Giac [F(-2)]

Exception generated. $\int \frac{1}{\sqrt{a + b \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(1/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $533$

2.3.9.54 Giac [F(-2)]

Exception generated. $\int \frac{\cot (c + d x)}{\sqrt{a + b \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $534$

2.3.9.55 Giac [F(-2)]

Exception generated. $\int \frac{\cot^{3} (c + d x)}{\sqrt{a + b \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)^3/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $536$

2.3.9.56 Giac [F(-2)]

Exception generated. $\int \sqrt{\tan (c + d x)} \sqrt{a + b \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(1/2)*(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $610$

2.3.9.57 Giac [F(-2)]

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

[In]

integrate(tan(d*x+c)^(1/2)/(2+3*tan(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 find common minimal polynomial Error: Bad Argument ValueDone

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $663$

2.3.9.58 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{\tan (c + d x)}}{\sqrt{- 2 + 3 \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(1/2)/(-2+3*tan(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:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $664$

2.3.9.59 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{\tan (c + d x)}}{\sqrt{- 2 - 3 \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(tan(d*x+c)^(1/2)/(-2-3*tan(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:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $666$

2.3.9.60 Giac [F(-2)]

Exception generated. $\int \frac{1}{\cot^{\frac{5}{2}} (c + d x) (a + i a \tan (c + d x))} d x = Exception raised: RuntimeError$

[In]

integrate(1/cot(d*x+c)^(5/2)/(a+I*a*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Not invertible Er

ror: Bad Argument Valueintegrate((sageVARa*tan(sageVARd*sageVARx+sageVARc)*i+sageVARa)^-1*(sqrt(cos(sageVARd*s

ageVARx+sageVA

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $739$

2.3.9.61 Giac [F(-2)]

Exception generated. $\int \cot^{\frac{7}{2}} (c + d x) \sqrt{a + b \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)^(7/2)*(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $840$

2.3.9.62 Giac [F(-2)]

Exception generated. $\int \cot^{\frac{5}{2}} (c + d x) \sqrt{a + b \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)^(5/2)*(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $841$

2.3.9.63 Giac [F(-2)]

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

[In]

integrate(cot(d*x+c)^(3/2)*(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $842$

2.3.9.64 Giac [F(-2)]

Exception generated. $\int \sqrt{\cot (c + d x)} \sqrt{a + b \tan (c + d x)} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)^(1/2)*(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $843$

2.3.9.65 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{a + b \tan (c + d x)}}{\sqrt{\cot (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate((a+b*tan(d*x+c))^(1/2)/cot(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $844$

2.3.9.66 Giac [F(-2)]

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

[In]

integrate((a+b*tan(d*x+c))^(1/2)/cot(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $845$

2.3.9.67 Giac [F(-2)]

Exception generated. $\int \frac{\cot^{\frac{5}{2}} (c + d x)}{\sqrt{a + b \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)^(5/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $861$

2.3.9.68 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{\cot (c + d x)}}{\sqrt{a + b \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(cot(d*x+c)^(1/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $863$

2.3.9.69 Giac [F(-2)]

Exception generated. $\int \frac{1}{\sqrt{\cot (c + d x)} \sqrt{a + b \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(1/cot(d*x+c)^(1/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $864$

2.3.9.70 Giac [F(-2)]

Exception generated. $\int \frac{1}{\cot^{\frac{3}{2}} (c + d x) \sqrt{a + b \tan (c + d x)}} d x = Exception raised: TypeError$

[In]

integrate(1/cot(d*x+c)^(3/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $865$

2.3.9.71 Giac [F(-2)]

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

[In]

integrate(cot(d*x+c)^(5/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $867$

2.3.9.72 Giac [F(-2)]

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

[In]

integrate(cot(d*x+c)^(1/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $869$

2.3.9.73 Giac [F(-2)]

Exception generated. $\int \frac{1}{\cot^{\frac{3}{2}} (c + d x) (a + b \tan (c + d x))^{3 / 2}} d x = Exception raised: TypeError$

[In]

integrate(1/cot(d*x+c)^(3/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $871$

2.3.9.74 Giac [F(-2)]

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

[In]

integrate(cot(d*x+c)^(5/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $874$

2.3.9.75 Giac [F(-2)]

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

[In]

integrate(cot(d*x+c)^(1/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $876$

2.3.9.76 Giac [F(-2)]

Exception generated. $\int \frac{1}{\cot^{\frac{3}{2}} (c + d x) (a + b \tan (c + d x))^{5 / 2}} d x = Exception raised: TypeError$

[In]

integrate(1/cot(d*x+c)^(3/2)/(a+b*tan(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 Valuesym2poly/r2sym(c

onst gen &

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $878$

2.3.9.77 Giac [F(-2)]

Exception generated. $\int (a + i a \tan (e + f x))^{5 / 2} \sqrt{c + d \tan (e + f x)} d x = Exception raised: TypeError$

[In]

integrate((c+d*tan(f*x+e))^(1/2)*(a+I*a*tan(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:Unable to divide, perhaps due to rounding error%%%{18,[0,10,0,0,0]%%%}+%%%{-120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[360,0]:[1,

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1137$

2.3.9.78 Giac [F(-2)]

Exception generated. $\int (a + i a \tan (e + f x))^{3 / 2} \sqrt{c + d \tan (e + f x)} d x = Exception raised: TypeError$

[In]

integrate((c+d*tan(f*x+e))^(1/2)*(a+I*a*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:Unable to divide, perhaps due to rounding error%%%{18,[0,10,0,0,0]%%%}+%%%{-120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[360,0]:[1,

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1138$

2.3.9.79 Giac [F(-2)]

Exception generated. $\int \sqrt{a + i a \tan (e + f x)} \sqrt{c + d \tan (e + f x)} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(f*x+e))^(1/2)*(c+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:Unable to divide, perhaps due to rounding error%%%{18,[0,10,0,0,0]%%%}+%%%{-120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[360,0]:[1,

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1139$

2.3.9.80 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + d \tan (e + f x)}}{\sqrt{a + i a \tan (e + f x)}} d x = Exception raised: TypeError$

[In]

integrate((c+d*tan(f*x+e))^(1/2)/(a+I*a*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:Non regular value [0,0] was discarded and replaced randomly by 0=[-63,1]Warning, replacing -63 by 7, a subs

titution va

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1140$

2.3.9.81 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + d \tan (e + f x)}}{(a + i a \tan (e + f x))^{3 / 2}} d x = Exception raised: TypeError$

[In]

integrate((c+d*tan(f*x+e))^(1/2)/(a+I*a*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:Non regular value [0,0] was discarded and replaced randomly by 0=[99,60]Warning, replacing 99 by 97, a subs

titution va

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1141$

2.3.9.82 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{c + d \tan (e + f x)}}{(a + i a \tan (e + f x))^{5 / 2}} d x = Exception raised: TypeError$

[In]

integrate((c+d*tan(f*x+e))^(1/2)/(a+I*a*tan(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:Non regular value [0,0] was discarded and replaced randomly by 0=[65,-63]Warning, replacing 65 by -42, a su

bstitution

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1142$

2.3.9.83 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(f*x+e))^(5/2)*(c+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:Unable to divide, perhaps due to rounding error%%%{-18,[0,10,0,0,0]%%%}+%%%{120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[-360,0]:[1

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1143$

2.3.9.84 Giac [F(-2)]

Exception generated. $\int (a + i a \tan (e + f x))^{3 / 2} (c + d \tan (e + f x))^{3 / 2} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(f*x+e))^(3/2)*(c+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:Unable to divide, perhaps due to rounding error%%%{18,[0,10,0,0,0]%%%}+%%%{-120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[360,0]:[1,

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1144$

2.3.9.85 Giac [F(-2)]

Exception generated. $\int \sqrt{a + i a \tan (e + f x)} (c + d \tan (e + f x))^{3 / 2} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(f*x+e))^(1/2)*(c+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:Unable to divide, perhaps due to rounding error%%%{18,[0,10,0,0,0]%%%}+%%%{-120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[360,0]:[1,

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1145$

2.3.9.86 Giac [F(-2)]

Exception generated. $\int \frac{(c + d \tan (e + f x))^{3 / 2}}{\sqrt{a + i a \tan (e + f x)}} d x = Exception raised: TypeError$

[In]

integrate((c+d*tan(f*x+e))^(3/2)/(a+I*a*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:Non regular value [0,0] was discarded and replaced randomly by 0=[77,-80]Warning, replacing 77 by -85, a su

bstitution

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1146$

2.3.9.87 Giac [F(-2)]

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

[In]

integrate((c+d*tan(f*x+e))^(3/2)/(a+I*a*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:Non regular value [0,0] was discarded and replaced randomly by 0=[37,69]Warning, replacing 37 by 48, a subs

titution va

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1147$

2.3.9.88 Giac [F(-2)]

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

[In]

integrate((c+d*tan(f*x+e))^(3/2)/(a+I*a*tan(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:Non regular value [0,0] was discarded and replaced randomly by 0=[-8,-38]Warning, replacing -8 by 29, a sub

stitution v

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1148$

2.3.9.89 Giac [F(-2)]

Exception generated. $\int (a + i a \tan (e + f x))^{5 / 2} (c + d \tan (e + f x))^{5 / 2} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(f*x+e))^(5/2)*(c+d*tan(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:Unable to divide, perhaps due to rounding error%%%{18,[0,10,0,0,0]%%%}+%%%{-120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[360,0]:[1,

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1149$

2.3.9.90 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(f*x+e))^(3/2)*(c+d*tan(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:Unable to divide, perhaps due to rounding error%%%{-18,[0,10,0,0,0]%%%}+%%%{120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[-360,0]:[1

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1150$

2.3.9.91 Giac [F(-2)]

Exception generated. $\int \sqrt{a + i a \tan (e + f x)} (c + d \tan (e + f x))^{5 / 2} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(f*x+e))^(1/2)*(c+d*tan(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:Unable to divide, perhaps due to rounding error%%%{18,[0,10,0,0,0]%%%}+%%%{-120,[0,9,0,0,1]%%%}+%%%{%%%{%%{

[360,0]:[1,

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1151$

2.3.9.92 Giac [F(-2)]

Exception generated. $\int \frac{(c + d \tan (e + f x))^{5 / 2}}{\sqrt{a + i a \tan (e + f x)}} d x = Exception raised: TypeError$

[In]

integrate((c+d*tan(f*x+e))^(5/2)/(a+I*a*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:Non regular value [0,0] was discarded and replaced randomly by 0=[71,-44]Warning, replacing 71 by 44, a sub

stitution v

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1152$

2.3.9.93 Giac [F(-2)]

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

[In]

integrate((c+d*tan(f*x+e))^(5/2)/(a+I*a*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:Non regular value [0,0] was discarded and replaced randomly by 0=[36,86]Warning, replacing 36 by -68, a sub

stitution v

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1153$

2.3.9.94 Giac [F(-2)]

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

[In]

integrate((c+d*tan(f*x+e))^(5/2)/(a+I*a*tan(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:Non regular value [0,0] was discarded and replaced randomly by 0=[94,-89]Warning, replacing 94 by -86, a su

bstitution

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1154$

2.3.9.95 Giac [F(-2)]

Exception generated. $\int \frac{(a + i a \tan (e + f x))^{5 / 2}}{\sqrt{c + d \tan (e + f x)}} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(f*x+e))^(5/2)/(c+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:Non regular value [0,0] was discarded and replaced randomly by 0=[11,77]Warning, replacing 11 by 3, a subst

itution var

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1155$

2.3.9.96 Giac [F(-2)]

Exception generated. $\int \frac{(a + i a \tan (e + f x))^{3 / 2}}{\sqrt{c + d \tan (e + f x)}} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(f*x+e))^(3/2)/(c+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:Non regular value [0,0] was discarded and replaced randomly by 0=[59,-68]Warning, replacing 59 by 96, a sub

stitution v

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1156$

2.3.9.97 Giac [F(-2)]

Exception generated. $\int \frac{\sqrt{a + i a \tan (e + f x)}}{\sqrt{c + d \tan (e + f x)}} d x = Exception raised: TypeError$

[In]

integrate((a+I*a*tan(f*x+e))^(1/2)/(c+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:Error: Bad Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Argument Typeindex.cc in

dex_m i_lex

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1157$

2.3.9.98 Giac [F(-2)]

Exception generated. $\int \frac{1}{\sqrt{a + i a \tan (e + f x)} \sqrt{c + d \tan (e + f x)}} d x = Exception raised: TypeError$

[In]

integrate(1/(a+I*a*tan(f*x+e))^(1/2)/(c+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:Error: Bad Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Argument Typeindex.cc in

dex_m i_lex

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1158$

2.3.9.99 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(f*x+e))^(5/2)/(c+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:Non regular value [0,0] was discarded and replaced randomly by 0=[41,-73]Warning, replacing 41 by -69, a su

bstitution

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1161$

2.3.9.100 Giac [F(-2)]

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

[In]

integrate((a+I*a*tan(f*x+e))^(3/2)/(c+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:Non regular value [0,0] was discarded and replaced randomly by 0=[-59,-77]Warning, replacing -59 by -5, a s

ubstitution

input ﬁle name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test ﬁle number $103$

Integral number in ﬁle $1162$

[next] [prev] [prev-tail] [front] [up]