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Popular Calculus >

integral of 9^{4x}

Solution

\int 9^{4 x} d x

Solution

\frac{656 1 ^{x}}{8 ln ( 3 )} + C

Solution steps

\int 9^{4 x} d x

Simplify

9^{4 x} : 656 1^{x}

= \int 656 1^{x} d x

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

= \frac{656 1 ^{x}}{ln ( 6561 )}

Simplify

ln (6561) : 8 ln (3)

= \frac{656 1 ^{x}}{8 ln ( 3 )}

Add a constant to the solution

= \frac{656 1 ^{x}}{8 ln ( 3 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 9^{4x} ?
The integral of 9^{4x} is (6561^x)/(8ln(3))+C