Optimal. Leaf size=13 \[ \frac {1}{3} (2 x+1)^{3/2} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {32} \[ \frac {1}{3} (2 x+1)^{3/2} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 32
Rubi steps
\begin {align*} \int \sqrt {1+2 x} \, dx &=\frac {1}{3} (1+2 x)^{3/2}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 13, normalized size = 1.00 \[ \frac {1}{3} (2 x+1)^{3/2} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.39, size = 9, normalized size = 0.69 \[ \frac {1}{3} \, {\left (2 \, x + 1\right )}^{\frac {3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.01, size = 9, normalized size = 0.69 \[ \frac {1}{3} \, {\left (2 \, x + 1\right )}^{\frac {3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.03, size = 10, normalized size = 0.77 \[ \frac {\left (2 x +1\right )^{\frac {3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.56, size = 9, normalized size = 0.69 \[ \frac {1}{3} \, {\left (2 \, x + 1\right )}^{\frac {3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.32, size = 9, normalized size = 0.69 \[ \frac {{\left (2\,x+1\right )}^{3/2}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.10, size = 8, normalized size = 0.62 \[ \frac {\left (2 x + 1\right )^{\frac {3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________