Optimal. Leaf size=19 \[ \frac {3 x^{2/3}}{2}-\frac {6 x^{7/6}}{7} \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 19, normalized size of antiderivative = 1.00, number of steps
used = 2, number of rules used = 1, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.067, Rules used = {14}
\begin {gather*} \frac {3 x^{2/3}}{2}-\frac {6 x^{7/6}}{7} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 14
Rubi steps
\begin {align*} \int \frac {1-\sqrt {x}}{\sqrt [3]{x}} \, dx &=\int \left (\frac {1}{\sqrt [3]{x}}-\sqrt [6]{x}\right ) \, dx\\ &=\frac {3 x^{2/3}}{2}-\frac {6 x^{7/6}}{7}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 19, normalized size = 1.00 \begin {gather*} \frac {3 x^{2/3}}{2}-\frac {6 x^{7/6}}{7} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.03, size = 12, normalized size = 0.63
method | result | size |
derivativedivides | \(\frac {3 x^{\frac {2}{3}}}{2}-\frac {6 x^{\frac {7}{6}}}{7}\) | \(12\) |
default | \(\frac {3 x^{\frac {2}{3}}}{2}-\frac {6 x^{\frac {7}{6}}}{7}\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.28, size = 11, normalized size = 0.58 \begin {gather*} -\frac {6}{7} \, x^{\frac {7}{6}} + \frac {3}{2} \, x^{\frac {2}{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.38, size = 11, normalized size = 0.58 \begin {gather*} -\frac {6}{7} \, x^{\frac {7}{6}} + \frac {3}{2} \, x^{\frac {2}{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.83, size = 15, normalized size = 0.79 \begin {gather*} - \frac {6 x^{\frac {7}{6}}}{7} + \frac {3 x^{\frac {2}{3}}}{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 3.70, size = 11, normalized size = 0.58 \begin {gather*} -\frac {6}{7} \, x^{\frac {7}{6}} + \frac {3}{2} \, x^{\frac {2}{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.02, size = 12, normalized size = 0.63 \begin {gather*} -\frac {3\,x^{2/3}\,\left (4\,\sqrt {x}-7\right )}{14} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________