Optimal. Leaf size=8 \[ \frac {b^x}{\log (b)} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {2194} \[ \frac {b^x}{\log (b)} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2194
Rubi steps
\begin {align*} \int b^x \, dx &=\frac {b^x}{\log (b)}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ \frac {b^x}{\log (b)} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.41, size = 8, normalized size = 1.00 \[ \frac {b^{x}}{\log \relax (b)} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 1.03, size = 8, normalized size = 1.00 \[ \frac {b^{x}}{\log \relax (b)} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.01, size = 9, normalized size = 1.12 \[ \frac {b^{x}}{\ln \relax (b )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.41, size = 8, normalized size = 1.00 \[ \frac {b^{x}}{\log \relax (b)} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.16, size = 8, normalized size = 1.00 \[ \frac {b^x}{\ln \relax (b)} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.09, size = 8, normalized size = 1.00 \[ \begin {cases} \frac {b^{x}}{\log {\relax (b )}} & \text {for}\: \log {\relax (b )} \neq 0 \\x & \text {otherwise} \end {cases} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________