Optimal. Leaf size=17 \[ \frac {6 x^{11/6}}{11}-\frac {x^4}{4} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 17, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \frac {6 x^{11/6}}{11}-\frac {x^4}{4} \]
Antiderivative was successfully verified.
[In]
[Out]
Rubi steps
\begin {align*} \int \left (x^{5/6}-x^3\right ) \, dx &=\frac {6 x^{11/6}}{11}-\frac {x^4}{4}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 17, normalized size = 1.00 \[ \frac {6 x^{11/6}}{11}-\frac {x^4}{4} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.44, size = 11, normalized size = 0.65 \[ -\frac {1}{4} \, x^{4} + \frac {6}{11} \, x^{\frac {11}{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 1.06, size = 11, normalized size = 0.65 \[ -\frac {1}{4} \, x^{4} + \frac {6}{11} \, x^{\frac {11}{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.00, size = 12, normalized size = 0.71 \[ -\frac {x^{4}}{4}+\frac {6 x^{\frac {11}{6}}}{11} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 1.07, size = 11, normalized size = 0.65 \[ -\frac {1}{4} \, x^{4} + \frac {6}{11} \, x^{\frac {11}{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.03, size = 11, normalized size = 0.65 \[ \frac {6\,x^{11/6}}{11}-\frac {x^4}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.06, size = 12, normalized size = 0.71 \[ \frac {6 x^{\frac {11}{6}}}{11} - \frac {x^{4}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________