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Popular >

integral of 8^{2x}

Solution

\int 8^{2 x} d x

Solution

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

Solution steps

\int 8^{2 x} d x

Simplify

8^{2 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

Popular Examples

integral of 3t^2-10t+19

\int 3 t^{2} - 10 t + 19 d t

integral of \sqrt[5]{5x+7}

integral of (3x^2+1)/(x^3+x^2+x+1)

\int \frac{3 x ^{2} + 1}{x ^{3} + x ^{2} + x + 1} d x

integral of 3^{2x}(2^{1-x}+1)

\int 3^{2 x} (2^{1 - x} + 1) d x

integral of (4x-3)^8

\int (4 x - 3)^{8} d x

Frequently Asked Questions (FAQ)

What is the integral of 8^{2x} ?
The integral of 8^{2x} is (2^{6x-1})/(3ln(2))+C