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Popular >

integral of 8^{3x}

Solution

\int 8^{3 x} d x

Solution

\frac{51 2 ^{x}}{9 ln ( 2 )} + C

Solution steps

\int 8^{3 x} d x

Simplify

8^{3 x} : 51 2^{x}

= \int 51 2^{x} d x

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

= \frac{51 2 ^{x}}{ln ( 512 )}

Simplify

ln (512) : 9 ln (2)

= \frac{51 2 ^{x}}{9 ln ( 2 )}

Add a constant to the solution

= \frac{51 2 ^{x}}{9 ln ( 2 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 8^{3x} ?
The integral of 8^{3x} is (512^x)/(9ln(2))+C