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Popular >

integral of 9^{2x}

Solution

\int 9^{2 x} d x

Solution

\frac{8 1 ^{x}}{4 ln ( 3 )} + C

Solution steps

\int 9^{2 x} d x

Simplify

9^{2 x} : 8 1^{x}

= \int 8 1^{x} d x

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

= \frac{8 1 ^{x}}{ln ( 81 )}

Simplify

ln (81) : 4 ln (3)

= \frac{8 1 ^{x}}{4 ln ( 3 )}

Add a constant to the solution

= \frac{8 1 ^{x}}{4 ln ( 3 )} + C

Popular Examples

integral of 1/(sqrt(t)-1)

\int \frac{1}{t - 1} d t

integral of (5-x)/(sqrt(x^2-10x+3))

\int \frac{5 - x}{x ^{2} - 10 x + 3} d x

integral of (20sin(10^{11}t-4y))

\int (20 sin (1 0^{11} t - 4 y)) d t

integral of-x^2+16

\int - x^{2} + 16 d x

integral of sqrt(x/(x-4))

\int \frac{x}{x - 4} d x

Frequently Asked Questions (FAQ)

What is the integral of 9^{2x} ?
The integral of 9^{2x} is (81^x)/(4ln(3))+C