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Popular >

integral of 7^{2x}

Solution

\int 7^{2 x} d x

Solution

\frac{4 9 ^{x}}{2 ln ( 7 )} + C

Solution steps

\int 7^{2 x} d x

Simplify

7^{2 x} : 4 9^{x}

= \int 4 9^{x} d x

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

= \frac{4 9 ^{x}}{ln ( 49 )}

Simplify

ln (49) : 2 ln (7)

= \frac{4 9 ^{x}}{2 ln ( 7 )}

Add a constant to the solution

= \frac{4 9 ^{x}}{2 ln ( 7 )} + C

Popular Examples

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\int \frac{x ^{2}}{x - x ^{2}} d x

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integral of 1/(sqrt(1-\frac{x^2){36)}}

\int \frac{1}{1 - \frac{x ^{2}}{36}} d x

integral of e^{4x}cos(x/2)

\int e^{4 x} cos (\frac{x}{2}) d x

integral of (x^2+13)/(x^2+16)

\int \frac{x ^{2} + 13}{x ^{2} + 16} d x

Frequently Asked Questions (FAQ)

What is the integral of 7^{2x} ?
The integral of 7^{2x} is (49^x)/(2ln(7))+C