Optimal. Leaf size=21 \[ \text {Int}(\sin (a+b x) F(c,d,\cos (a+b x),r,s),x) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.01, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int F(c,d,\cos (a+b x),r,s) \sin (a+b x) \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin {align*} \int F(c,d,\cos (a+b x),r,s) \sin (a+b x) \, dx &=-\frac {\operatorname {Subst}(\int F(c,d,x,r,s) \, dx,x,\cos (a+b x))}{b}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A] time = 0.05, size = 0, normalized size = 0.00 \[ \int F(c,d,\cos (a+b x),r,s) \sin (a+b x) \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.86, size = 0, normalized size = 0.00 \[ {\rm integral}\left (F\left (c, d, \cos \left (b x + a\right ), r, s\right ) \sin \left (b x + a\right ), x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int F\left (c, d, \cos \left (b x + a\right ), r, s\right ) \sin \left (b x + a\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.05, size = 0, normalized size = 0.00 \[ \int F \left (c , d , \cos \left (b x +a \right ), r , s\right ) \sin \left (b x +a \right )\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int F\left (c, d, \cos \left (b x + a\right ), r, s\right ) \sin \left (b x + a\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [A] time = 0.00, size = -1, normalized size = -0.05 \[ \int \sin \left (a+b\,x\right )\,F\left (c,d,\cos \left (a+b\,x\right ),r,s\right ) \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int F{\left (c,d,\cos {\left (a + b x \right )},r,s \right )} \sin {\left (a + b x \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________