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Popular >

integral of 7^{4x}

Solution

\int 7^{4 x} d x

Solution

\frac{240 1 ^{x}}{4 ln ( 7 )} + C

Solution steps

\int 7^{4 x} d x

Simplify

7^{4 x} : 240 1^{x}

= \int 240 1^{x} d x

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

= \frac{240 1 ^{x}}{ln ( 2401 )}

Simplify

ln (2401) : 4 ln (7)

= \frac{240 1 ^{x}}{4 ln ( 7 )}

Add a constant to the solution

= \frac{240 1 ^{x}}{4 ln ( 7 )} + C

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Frequently Asked Questions (FAQ)

What is the integral of 7^{4x} ?
The integral of 7^{4x} is (2401^x)/(4ln(7))+C