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Popular >

integral of 4^{4x}

Solution

\int 4^{4 x} d x

Solution

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

Solution steps

\int 4^{4 x} d x

Simplify

4^{4 x} : 25 6^{x}

= \int 25 6^{x} d x

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

= \frac{25 6 ^{x}}{ln ( 256 )}

Simplify

\frac{25 6 ^{x}}{ln ( 256 )} : \frac{2 ^{8 x - 3}}{ln ( 2 )}

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

Add a constant to the solution

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

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\int \frac{sin ( x )}{( 1 + cos ^{2} ( x ) )} d x

integral of 4/x+e^{-2x}

\int \frac{4}{x} + e^{- 2 x} d x

Frequently Asked Questions (FAQ)

What is the integral of 4^{4x} ?
The integral of 4^{4x} is (2^{8x-3})/(ln(2))+C