Optimal. Leaf size=11 \[ x-\frac{4 x^{5/4}}{5} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0012273, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ x-\frac{4 x^{5/4}}{5} \]
Antiderivative was successfully verified.
[In]
[Out]
Rubi steps
\begin{align*} \int \left (1-\sqrt [4]{x}\right ) \, dx &=x-\frac{4 x^{5/4}}{5}\\ \end{align*}
Mathematica [A] time = 0.0015435, size = 11, normalized size = 1. \[ x-\frac{4 x^{5/4}}{5} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0., size = 8, normalized size = 0.7 \begin{align*} x-{\frac{4}{5}{x}^{{\frac{5}{4}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 1.00362, size = 9, normalized size = 0.82 \begin{align*} -\frac{4}{5} \, x^{\frac{5}{4}} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 1.48727, size = 24, normalized size = 2.18 \begin{align*} -\frac{4}{5} \, x^{\frac{5}{4}} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.053714, size = 8, normalized size = 0.73 \begin{align*} - \frac{4 x^{\frac{5}{4}}}{5} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.12614, size = 9, normalized size = 0.82 \begin{align*} -\frac{4}{5} \, x^{\frac{5}{4}} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]