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Popular >

integral of 5^{4x}

Solution

\int 5^{4 x} d x

Solution

\frac{62 5 ^{x}}{4 ln ( 5 )} + C

Solution steps

\int 5^{4 x} d x

Simplify

5^{4 x} : 62 5^{x}

= \int 62 5^{x} d x

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

= \frac{62 5 ^{x}}{ln ( 625 )}

Simplify

ln (625) : 4 ln (5)

= \frac{62 5 ^{x}}{4 ln ( 5 )}

Add a constant to the solution

= \frac{62 5 ^{x}}{4 ln ( 5 )} + C

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\int 9^{x} sin (9^{x}) d x

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\int \frac{1}{( 4 - 9 x ^{2} ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 5^{4x} ?
The integral of 5^{4x} is (625^x)/(4ln(5))+C