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Popular >

integral of 4^x

Solution

integral

4^{x}

Solution

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

Solution steps

\int 4^{x} d x

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

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (11x^2+5x-4)/(x^3+x^2-2x)

\int \frac{11 x ^{2} + 5 x - 4}{x ^{3} + x ^{2} - 2 x} d x

integral of (ln(x)ln(x))/x

\int \frac{ln ( x ) ln ( x )}{x} d x

integral of (x^3)/(x^8-4)

\int \frac{x ^{3}}{x ^{8} - 4} d x

integral of (2x+3)/((x-2)(x+5))

\int \frac{2 x + 3}{( x - 2 ) ( x + 5 )} d x

integral of (sqrt(x)+x)^2

\int (x + x)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of 4^x ?
The integral of 4^x is (2^{2x-1})/(ln(2))+C