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Popular Calculus >

integral of 7^{3x}

Solution

\int 7^{3 x} d x

Solution

\frac{34 3 ^{x}}{3 ln ( 7 )} + C

Solution steps

\int 7^{3 x} d x

Simplify

7^{3 x} : 34 3^{x}

= \int 34 3^{x} d x

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

= \frac{34 3 ^{x}}{ln ( 343 )}

Simplify

ln (343) : 3 ln (7)

= \frac{34 3 ^{x}}{3 ln ( 7 )}

Add a constant to the solution

= \frac{34 3 ^{x}}{3 ln ( 7 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 7^{3x} ?
The integral of 7^{3x} is (343^x)/(3ln(7))+C