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Popular >

integral of 2^xln(2)

Solution

\int 2^{x} ln (2) d x

Solution

2^{x} + C

Solution steps

\int 2^{x} ln (2) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= ln (2) \cdot \int 2^{x} d x

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

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

Simplify

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

= 2^{x}

Add a constant to the solution

= 2^{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2^xln(2) ?
The integral of 2^xln(2) is 2^x+C