Optimal. Leaf size=11 \[ x-\frac {4 x^{5/4}}{5} \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 11, 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 = {} \begin {gather*} x-\frac {4 x^{5/4}}{5} \end {gather*}
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 = 0.00, size = 11, normalized size = 1.00 \begin {gather*} x-\frac {4 x^{5/4}}{5} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
IntegrateAlgebraic [A] time = 0.01, size = 15, normalized size = 1.36 \begin {gather*} \frac {1}{5} \left (5 x-4 x^{5/4}\right ) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.43, size = 7, normalized size = 0.64 \begin {gather*} -\frac {4}{5} \, x^{\frac {5}{4}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.35, size = 7, normalized size = 0.64 \begin {gather*} -\frac {4}{5} \, x^{\frac {5}{4}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.00, size = 8, normalized size = 0.73 \begin {gather*} -\frac {4 x^{\frac {5}{4}}}{5}+x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.62, size = 7, normalized size = 0.64 \begin {gather*} -\frac {4}{5} \, x^{\frac {5}{4}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.02, size = 7, normalized size = 0.64 \begin {gather*} x-\frac {4\,x^{5/4}}{5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.06, size = 8, normalized size = 0.73 \begin {gather*} - \frac {4 x^{\frac {5}{4}}}{5} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________