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Popular Calculus >

integral of 6^{5x}

Solution

\int 6^{5 x} d x

Solution

\frac{777 6 ^{x}}{5 ln ( 6 )} + C

Solution steps

\int 6^{5 x} d x

Simplify

6^{5 x} : 777 6^{x}

= \int 777 6^{x} d x

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

= \frac{777 6 ^{x}}{ln ( 7776 )}

Simplify

ln (7776) : 5 ln (6)

= \frac{777 6 ^{x}}{5 ln ( 6 )}

Add a constant to the solution

= \frac{777 6 ^{x}}{5 ln ( 6 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 6^{5x} ?
The integral of 6^{5x} is (7776^x)/(5ln(6))+C