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Popular Calculus >

integral of 4^{10x}

Solution

\int 4^{10 x} d x

Solution

\frac{2 ^{20 x - 2}}{5 ln ( 2 )} + C

Solution steps

\int 4^{10 x} d x

Simplify

4^{10 x} : 104857 6^{x}

= \int 104857 6^{x} d x

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

= \frac{104857 6 ^{x}}{ln ( 1048576 )}

Simplify

\frac{104857 6 ^{x}}{ln ( 1048576 )} : \frac{2 ^{20 x - 2}}{5 ln ( 2 )}

= \frac{2 ^{20 x - 2}}{5 ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{20 x - 2}}{5 ln ( 2 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4^{10x} ?
The integral of 4^{10x} is (2^{20x-2})/(5ln(2))+C