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Popular >

integral of 7^{9x}

Solution

\int 7^{9 x} d x

Solution

\frac{4035360 7 ^{x}}{9 ln ( 7 )} + C

Solution steps

\int 7^{9 x} d x

Simplify

7^{9 x} : 4035360 7^{x}

= \int 4035360 7^{x} d x

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

= \frac{4035360 7 ^{x}}{ln ( 40353607 )}

Simplify

ln (40353607) : 9 ln (7)

= \frac{4035360 7 ^{x}}{9 ln ( 7 )}

Add a constant to the solution

= \frac{4035360 7 ^{x}}{9 ln ( 7 )} + C

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\int y^{\frac{- 1}{2}} d y

integral of (x^{3/2}+2)^7sqrt(x)

\int (x^{\frac{3}{2}} + 2)^{7} x d x

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\int 5 + \frac{2}{3} x^{2} + \frac{3}{4} x^{3} d x

Frequently Asked Questions (FAQ)

What is the integral of 7^{9x} ?
The integral of 7^{9x} is (40353607^x)/(9ln(7))+C