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Popular >

integral of 4^{2x}

Solution

\int 4^{2 x} d x

Solution

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

Solution steps

\int 4^{2 x} d x

Simplify

4^{2 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

Graph

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\int_{0}^{2} 36 x + 73 d x

(\partial)/(\partial x)(In(3x^2y))

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limit as x approaches 0+of 3-sqrt(x)

x \to 0 + lim (3 - x)

derivative of f(x)= r/3 derivative of

f (x) = \frac{r}{3}

Frequently Asked Questions (FAQ)

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