2.1.5 Integrals 401 to 500

2.1.5.1 Fricas [F(-2)]

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

[In]

integrate((A+B*log(x))/(a+b*log(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.5_Logarithm_functions.txt

Test file number \(64\)

Integral number in file \(303\)

2.1.5.2 Fricas [F(-2)]

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

[In]

integrate((A+B*log(x))/(a-b*log(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.5_Logarithm_functions.txt

Test file number \(64\)

Integral number in file \(304\)

2.1.5.3 Fricas [F(-2)]

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

[In]

integrate(x/sin(f*x+e)^(3/2)+x*sin(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(67\)

2.1.5.4 Fricas [F(-2)]

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

[In]

integrate(x^2/sin(f*x+e)^(3/2)+x^2*sin(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(68\)

2.1.5.5 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sin ^{\frac {7}{2}}(e+f x)}+\frac {3}{5} x \sqrt {\sin (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sin(f*x+e)^(7/2)+3/5*x*sin(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(70\)

2.1.5.6 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\csc ^{\frac {3}{2}}(e+f x)}-\frac {1}{3} x \sqrt {\csc (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/csc(f*x+e)^(3/2)-1/3*x*csc(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(91\)

2.1.5.7 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x^2}{\csc ^{\frac {3}{2}}(e+f x)}-\frac {1}{3} x^2 \sqrt {\csc (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/csc(f*x+e)^(3/2)-1/3*x^2*csc(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(92\)

2.1.5.8 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\csc ^{\frac {5}{2}}(e+f x)}-\frac {3 x}{5 \sqrt {\csc (e+f x)}}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/csc(f*x+e)^(5/2)-3/5*x/csc(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(93\)

2.1.5.9 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\csc ^{\frac {7}{2}}(e+f x)}-\frac {5}{21} x \sqrt {\csc (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/csc(f*x+e)^(7/2)-5/21*x*csc(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(94\)

2.1.5.10 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(122\)

2.1.5.11 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(123\)

2.1.5.12 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(124\)

2.1.5.13 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(125\)

2.1.5.14 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(126\)

2.1.5.15 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(127\)

2.1.5.16 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(128\)

2.1.5.17 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(129\)

2.1.5.18 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(130\)

2.1.5.19 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(131\)

2.1.5.20 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(132\)

2.1.5.21 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(133\)

2.1.5.22 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(144\)

2.1.5.23 Fricas [F(-2)]

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

[In]

integrate((f*x+e)^3*csc(d*x+c)/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(232\)

2.1.5.24 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(236\)

2.1.5.25 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(325\)

2.1.5.26 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(329\)

2.1.5.27 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(333\)

2.1.5.28 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(337\)

2.1.5.29 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(341\)

2.1.5.30 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(345\)

2.1.5.31 Fricas [F(-2)]

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

[In]

integrate(1/(e*cos(d*x+c))^(5/2)/(a+b*sin(d*x+c))^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.1_Sine/4.1.1.2-g_cos-^p-a+b_sin-^m.txt

Test file number \(70\)

Integral number in file \(592\)

2.1.5.32 Fricas [F(-2)]

Exception generated. \[ \int \frac {(e \cos (c+d x))^{11/2}}{(a+b \sin (c+d x))^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((e*cos(d*x+c))^(11/2)/(a+b*sin(d*x+c))^4,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.1_Sine/4.1.1.2-g_cos-^p-a+b_sin-^m.txt

Test file number \(70\)

Integral number in file \(607\)

2.1.5.33 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {e \cos (c+d x)} (a+b \sin (c+d x))^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*sin(d*x+c))^4/(e*cos(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.1_Sine/4.1.1.2-g_cos-^p-a+b_sin-^m.txt

Test file number \(70\)

Integral number in file \(613\)

2.1.5.34 Fricas [F(-2)]

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

[In]

integrate((c*sin(b*x+a)^m)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(19\)

2.1.5.35 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(20\)

2.1.5.36 Fricas [F(-2)]

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

[In]

integrate((c*sin(b*x+a)^m)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(21\)

2.1.5.37 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c \sin ^m(a+b x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(c*sin(b*x+a)^m)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(22\)

2.1.5.38 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(23\)

2.1.5.39 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c \sin ^m(a+b x)\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(c*sin(b*x+a)^m)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(24\)

2.1.5.40 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \sin ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a+b*sin(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

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 \(249\)

2.1.5.41 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a-b \sin ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a-b*sin(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

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 \(252\)

2.1.5.42 Fricas [F(-2)]

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

[In]

integrate(cot(x)/(a+b*sin(x)^3)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   failed of mode Union(SparseUnivariatePol
ynomial(Expression(Complex(Integer))),failed) cannot be coerced to mode SparseUnivariatePolynomial(Expression(
Complex(Int

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 \(554\)

2.1.5.43 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(82\)

Integral number in file \(58\)

2.1.5.44 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(82\)

Integral number in file \(59\)

2.1.5.45 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(82\)

Integral number in file \(60\)

2.1.5.46 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(82\)

Integral number in file \(61\)

2.1.5.47 Fricas [F(-2)]

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

[In]

integrate(1/(c*cos(b*x+a)^m)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(82\)

Integral number in file \(62\)

2.1.5.48 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c \cos ^m(a+b x)\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(c*cos(b*x+a)^m)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(82\)

Integral number in file \(63\)

2.1.5.49 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(75\)

2.1.5.50 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(77\)

2.1.5.51 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(78\)

2.1.5.52 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(80\)

2.1.5.53 Fricas [F(-2)]

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

[In]

integrate(x*cos(b*x+a)^(3/2)-1/3*x/cos(b*x+a)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(81\)

2.1.5.54 Fricas [F(-2)]

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

[In]

integrate(cos(x)^(3/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(82\)

2.1.5.55 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

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

Test file number \(83\)

Integral number in file \(83\)

2.1.5.56 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

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

Test file number \(83\)

Integral number in file \(85\)

2.1.5.57 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

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

Test file number \(83\)

Integral number in file \(86\)

2.1.5.58 Fricas [F(-2)]

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

[In]

integrate(1/x/cos(b*x+a)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

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

Test file number \(83\)

Integral number in file \(88\)

2.1.5.59 Fricas [F(-2)]

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

[In]

integrate(x/cos(b*x+a)^(3/2)+x*cos(b*x+a)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(89\)

2.1.5.60 Fricas [F(-2)]

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

[In]

integrate(x/cos(x)^(3/2)+x*cos(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(90\)

2.1.5.61 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\cos ^{\frac {7}{2}}(x)}+\frac {3}{5} x \sqrt {\cos (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/cos(x)^(7/2)+3/5*x*cos(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(92\)

2.1.5.62 Fricas [F(-2)]

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

[In]

integrate(x^2/cos(x)^(3/2)+x^2*cos(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(93\)

2.1.5.63 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sec ^{\frac {3}{2}}(x)}-\frac {1}{3} x \sqrt {\sec (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sec(x)^(3/2)-1/3*x*sec(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(94\)

2.1.5.64 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sec ^{\frac {5}{2}}(x)}-\frac {3 x}{5 \sqrt {\sec (x)}}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sec(x)^(5/2)-3/5*x/sec(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(95\)

2.1.5.65 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sec ^{\frac {7}{2}}(x)}-\frac {5}{21} x \sqrt {\sec (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sec(x)^(7/2)-5/21*x*sec(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(96\)

2.1.5.66 Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x^2}{\sec ^{\frac {3}{2}}(x)}-\frac {1}{3} x^2 \sqrt {\sec (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/sec(x)^(3/2)-1/3*x^2*sec(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(97\)

2.1.5.67 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(143\)

2.1.5.68 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(144\)

2.1.5.69 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(145\)

2.1.5.70 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(147\)

2.1.5.71 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(148\)

2.1.5.72 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(149\)

2.1.5.73 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(150\)

2.1.5.74 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(151\)

2.1.5.75 Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {a+a \cos (x)} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(152\)

2.1.5.76 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(154\)

2.1.5.77 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(155\)

2.1.5.78 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(156\)

2.1.5.79 Fricas [F(-2)]

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

[In]

integrate(x^3*(a-a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(157\)

2.1.5.80 Fricas [F(-2)]

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

[In]

integrate(x^2*(a-a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(158\)

2.1.5.81 Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {a-a \cos (x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(a-a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(159\)

2.1.5.82 Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a-a \cos (x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a-a*cos(x))^(1/2)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(161\)

2.1.5.83 Fricas [F(-2)]

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

[In]

integrate((a-a*cos(x))^(1/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(162\)

2.1.5.84 Fricas [F(-2)]

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

[In]

integrate((a-a*cos(x))^(1/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(163\)

2.1.5.85 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(164\)

2.1.5.86 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(165\)

2.1.5.87 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(166\)

2.1.5.88 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(167\)

2.1.5.89 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(168\)

2.1.5.90 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(169\)

2.1.5.91 Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(83\)

Integral number in file \(184\)

2.1.5.92 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {-1+\cos ^2(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-1+cos(x)^2)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(52\)

2.1.5.93 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (-1+\cos ^2(x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-1+cos(x)^2)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(54\)

2.1.5.94 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \cos ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a+b*cos(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(74\)

2.1.5.95 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a-b \cos ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a-b*cos(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(77\)

2.1.5.96 Fricas [F(-2)]

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

[In]

integrate(tan(x)/(a+b*cos(x)^3)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   failed of mode Union(SparseUnivariatePol
ynomial(Expression(Complex(Integer))),failed) cannot be coerced to mode SparseUnivariatePolynomial(Expression(
Complex(Int

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(94\)

2.1.5.97 Fricas [F(-2)]

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

[In]

integrate((b*tan(d*x+c)^p)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(46\)

2.1.5.98 Fricas [F(-2)]

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

[In]

integrate((b*tan(d*x+c)^p)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(47\)

2.1.5.99 Fricas [F(-2)]

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

[In]

integrate((b*tan(d*x+c)^p)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(48\)

2.1.5.100 Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {b \tan ^p(c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(b*tan(d*x+c)^p)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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 \(49\)