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Popular >

integral of 2^{4x}

Solution

\int 2^{4 x} d x

Solution

\frac{2 ^{4 x - 2}}{ln ( 2 )} + C

Solution steps

\int 2^{4 x} d x

Simplify

2^{4 x} : 1 6^{x}

= \int 1 6^{x} d x

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

= \frac{1 6 ^{x}}{ln ( 16 )}

Simplify

\frac{1 6 ^{x}}{ln ( 16 )} : \frac{2 ^{4 x - 2}}{ln ( 2 )}

= \frac{2 ^{4 x - 2}}{ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{4 x - 2}}{ln ( 2 )} + C

Popular Examples

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x \to 0 lim (\frac{sin ( x )}{sin ( 2 x )})

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

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

Frequently Asked Questions (FAQ)

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