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Popular >

integral of 3^{2x}

Solution

\int 3^{2 x} d x

Solution

\frac{9 ^{x}}{2 ln ( 3 )} + C

Solution steps

\int 3^{2 x} d x

Simplify

3^{2 x} : 9^{x}

= \int 9^{x} d x

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

= \frac{9 ^{x}}{ln ( 9 )}

Simplify

ln (9) : 2 ln (3)

= \frac{9 ^{x}}{2 ln ( 3 )}

Add a constant to the solution

= \frac{9 ^{x}}{2 ln ( 3 )} + C

Popular Examples

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x \to 0 lim (\frac{x - 7}{3 x + 4})

- 9 y^{^{''}} + 36 y = 0

integral of 2y+1

\int 2 y + 1 d y

derivative of ln(\sqrt[3]{(3x/(x+2)}))

Frequently Asked Questions (FAQ)

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