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Popular >

integral of 2^{6x}

Solution

\int 2^{6 x} d x

Solution

\frac{2 ^{6 x - 1}}{3 ln ( 2 )} + C

Solution steps

\int 2^{6 x} d x

Simplify

2^{6 x} : 6 4^{x}

= \int 6 4^{x} d x

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

= \frac{6 4 ^{x}}{ln ( 64 )}

Simplify

\frac{6 4 ^{x}}{ln ( 64 )} : \frac{2 ^{6 x - 1}}{3 ln ( 2 )}

= \frac{2 ^{6 x - 1}}{3 ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{6 x - 1}}{3 ln ( 2 )} + C

Graph

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\int \frac{5}{x ^{3}} d x

integral of xsqrt(9x+4)

\int x 9 x + 4 d x

Frequently Asked Questions (FAQ)

What is the integral of 2^{6x} ?
The integral of 2^{6x} is (2^{6x-1})/(3ln(2))+C