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Popular Calculus >

integral of 2^u

Solution

\int 2^{u} d u

Solution

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

Solution steps

\int 2^{u} d u

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2^u ?
The integral of 2^u is (2^u)/(ln(2))+C