Optimal. Leaf size=14 \[ a x+\frac {3}{4} b x^{4/3} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ a x+\frac {3}{4} b x^{4/3} \]
Antiderivative was successfully verified.
[In]
[Out]
Rubi steps
\begin {align*} \int \left (a+b \sqrt [3]{x}\right ) \, dx &=a x+\frac {3}{4} b x^{4/3}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 14, normalized size = 1.00 \[ a x+\frac {3}{4} b x^{4/3} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.62, size = 10, normalized size = 0.71 \[ \frac {3}{4} \, b x^{\frac {4}{3}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.16, size = 10, normalized size = 0.71 \[ \frac {3}{4} \, b x^{\frac {4}{3}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.00, size = 11, normalized size = 0.79 \[ \frac {3 b \,x^{\frac {4}{3}}}{4}+a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.87, size = 10, normalized size = 0.71 \[ \frac {3}{4} \, b x^{\frac {4}{3}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.03, size = 10, normalized size = 0.71 \[ a\,x+\frac {3\,b\,x^{4/3}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.06, size = 12, normalized size = 0.86 \[ a x + \frac {3 b x^{\frac {4}{3}}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________