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Popular Calculus >

integral of 7^{5x}

Solution

\int 7^{5 x} d x

Solution

\frac{1680 7 ^{x}}{5 ln ( 7 )} + C

Solution steps

\int 7^{5 x} d x

Simplify

7^{5 x} : 1680 7^{x}

= \int 1680 7^{x} d x

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

= \frac{1680 7 ^{x}}{ln ( 16807 )}

Simplify

ln (16807) : 5 ln (7)

= \frac{1680 7 ^{x}}{5 ln ( 7 )}

Add a constant to the solution

= \frac{1680 7 ^{x}}{5 ln ( 7 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 7^{5x} ?
The integral of 7^{5x} is (16807^x)/(5ln(7))+C