Optimal. Leaf size=22 \[ \text {Int}\left (\frac {\sqrt {c+d x}}{a+b e^x},x\right ) \]
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Rubi [A] time = 0.04, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {\sqrt {c+d x}}{a+b e^x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin {align*} \int \frac {\sqrt {c+d x}}{a+b e^x} \, dx &=\int \frac {\sqrt {c+d x}}{a+b e^x} \, dx\\ \end {align*}
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Mathematica [A] time = 0.68, size = 0, normalized size = 0.00 \[ \int \frac {\sqrt {c+d x}}{a+b e^x} \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.42, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\frac {\sqrt {d x + c}}{b e^{x} + a}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sqrt {d x + c}}{b e^{x} + a}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.09, size = 0, normalized size = 0.00 \[ \int \frac {\sqrt {d x +c}}{b \,{\mathrm e}^{x}+a}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sqrt {d x + c}}{b e^{x} + a}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [A] time = 0.00, size = -1, normalized size = -0.05 \[ \int \frac {\sqrt {c+d\,x}}{a+b\,{\mathrm {e}}^x} \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sqrt {c + d x}}{a + b e^{x}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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