What is the integral of e^{xln(a)} ?

The integral of e^{xln(a)} is (a^x)/(ln(a))+C

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integral of e^{xln(a)}

\int e^{x l n (a)} d x

\frac{a ^{x}}{ln ( a )} + C

Solution steps

\int e^{x l n (a)} d x

Simplify

e^{x l n (a)} : a^{x}

= \int a^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= \frac{a ^{x}}{ln ( a )}

Add a constant to the solution

= \frac{a ^{x}}{ln ( a )} + C

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What is the integral of e^{xln(a)} ?
The integral of e^{xln(a)} is (a^x)/(ln(a))+C