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Popular >

integral of 3^{4x}

Solution

\int 3^{4 x} d x

Solution

\frac{8 1 ^{x}}{4 ln ( 3 )} + C

Solution steps

\int 3^{4 x} d x

Simplify

3^{4 x} : 8 1^{x}

= \int 8 1^{x} d x

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

= \frac{8 1 ^{x}}{ln ( 81 )}

Simplify

ln (81) : 4 ln (3)

= \frac{8 1 ^{x}}{4 ln ( 3 )}

Add a constant to the solution

= \frac{8 1 ^{x}}{4 ln ( 3 )} + C

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Frequently Asked Questions (FAQ)

What is the integral of 3^{4x} ?
The integral of 3^{4x} is (81^x)/(4ln(3))+C