Optimal. Leaf size=35 \[ \text {Int}\left (\sqrt {g+h x} \sqrt {a+b \log \left (c \left (d (e+f x)^p\right )^q\right )},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.20, 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 = {}
\begin {gather*} \int \sqrt {g+h x} \sqrt {a+b \log \left (c \left (d (e+f x)^p\right )^q\right )} \, dx \end {gather*}
Verification is not applicable to the result.
[In]
[Out]
Rubi steps
\begin {align*} \int \sqrt {g+h x} \sqrt {a+b \log \left (c \left (d (e+f x)^p\right )^q\right )} \, dx &=\int \sqrt {g+h x} \sqrt {a+b \log \left (c \left (d (e+f x)^p\right )^q\right )} \, dx\\ \end {align*}
________________________________________________________________________________________
Mathematica [A]
time = 0.75, size = 0, normalized size = 0.00 \begin {gather*} \int \sqrt {g+h x} \sqrt {a+b \log \left (c \left (d (e+f x)^p\right )^q\right )} \, dx \end {gather*}
Verification is not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.19, size = 0, normalized size = 0.00 \[\int \sqrt {h x +g}\, \sqrt {a +b \ln \left (c \left (d \left (f x +e \right )^{p}\right )^{q}\right )}\, dx\]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Failed to integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [F(-2)]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: TypeError} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [F(-2)]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: SystemError} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [A]
time = 0.00, size = -1, normalized size = -0.03 \begin {gather*} \int \sqrt {g+h\,x}\,\sqrt {a+b\,\ln \left (c\,{\left (d\,{\left (e+f\,x\right )}^p\right )}^q\right )} \,d x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________