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Popular Calculus >

integral of e^x2^x

Solution

\int e^{x} 2^{x} d x

Solution

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

Solution steps

\int e^{x} \cdot 2^{x} d x

Apply exponent rule:

a^{n} \cdot b^{n} = (a \cdot b)^{n}

e^{x} 2^{x} = (e 2)^{x}

= \int (e 2)^{x} d x

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of e^x2^x ?
The integral of e^x2^x is ((e2)^x)/(ln(e2))+C