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Popular Calculus >

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

Graph

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Frequently Asked Questions (FAQ)

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