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Popular >

integral of 5^{8y}

Solution

\int 5^{8 y} d y

Solution

\frac{39062 5 ^{y}}{8 ln ( 5 )} + C

Solution steps

\int 5^{8 y} d y

Simplify

5^{8 y} : 39062 5^{y}

= \int 39062 5^{y} d y

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

= \frac{39062 5 ^{y}}{ln ( 390625 )}

Simplify

ln (390625) : 8 ln (5)

= \frac{39062 5 ^{y}}{8 ln ( 5 )}

Add a constant to the solution

= \frac{39062 5 ^{y}}{8 ln ( 5 )} + C

Graph

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\int \frac{sec ( 2 x ) - 1}{sec ( 2 x ) + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 5^{8y} ?
The integral of 5^{8y} is (390625^y)/(8ln(5))+C