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Popular >

integral of 9^x

Solution

\int 9^{x} d x

Solution

\frac{9 ^{x}}{2 ln ( 3 )} + C

Solution steps

\int 9^{x} d x

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

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

Simplify

ln (9) : 2 ln (3)

= \frac{9 ^{x}}{2 ln ( 3 )}

Add a constant to the solution

= \frac{9 ^{x}}{2 ln ( 3 )} + C

Popular Examples

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y = sin (4 x), (0, \frac{π}{4})

y^'=2x+y,y(0)=5

y^{^{'}} = 2 x + y, y (0) = 5

derivative of-e^x

\frac{d}{d x} (- e^{x})

integral of cot^4(x)csc^4(x)

\int cot^{4} (x) csc^{4} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of 9^x ?
The integral of 9^x is (9^x)/(2ln(3))+C