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Popular >

integral of 11^{4x}

Solution

\int 1 1^{4 x} d x

Solution

\frac{1464 1 ^{x}}{4 ln ( 11 )} + C

Solution steps

\int 1 1^{4 x} d x

Simplify

1 1^{4 x} : 1464 1^{x}

= \int 1464 1^{x} d x

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

= \frac{1464 1 ^{x}}{ln ( 14641 )}

Simplify

ln (14641) : 4 ln (11)

= \frac{1464 1 ^{x}}{4 ln ( 11 )}

Add a constant to the solution

= \frac{1464 1 ^{x}}{4 ln ( 11 )} + C

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Frequently Asked Questions (FAQ)

What is the integral of 11^{4x} ?
The integral of 11^{4x} is (14641^x)/(4ln(11))+C