What is the integral of e^{xln(2)} ?

The integral of e^{xln(2)} is (2^x)/(ln(2))+C

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integral of e^{xln(2)}

\int e^{x l n (2)} d x

\frac{2 ^{x}}{ln ( 2 )} + C

Solution steps

\int e^{x l n (2)} d x

Simplify

e^{x l n (2)} : 2^{x}

= \int 2^{x} d x

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

= \frac{2 ^{x}}{ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{x}}{ln ( 2 )} + C

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What is the integral of e^{xln(2)} ?
The integral of e^{xln(2)} is (2^x)/(ln(2))+C