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Popular Calculus >

integral of (8^x)

Solution

\int (8^{x}) d x

Solution

\frac{8 ^{x}}{3 ln ( 2 )} + C

Solution steps

\int 8^{x} d x

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

= \frac{8 ^{x}}{ln ( 8 )}

Simplify

ln (8) : 3 ln (2)

= \frac{8 ^{x}}{3 ln ( 2 )}

Add a constant to the solution

= \frac{8 ^{x}}{3 ln ( 2 )} + C

Graph

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\int \frac{sec ^{2} ( x )}{sin ( x )} d x

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\int (tan (2 x) - sec (2 x))^{2} d x

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\int 11 sin (x) d x

integral of (e^{-x}+e^{-2x})

\int (e^{- x} + e^{- 2 x}) d x

Frequently Asked Questions (FAQ)

What is the integral of (8^x) ?
The integral of (8^x) is (8^x)/(3ln(2))+C