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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

integral of ((x^2))/(sqrt(x^3+5))

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

integral of 1/((x+1)^2(x^2+1)^2)

\int \frac{1}{( x + 1 ) ^{2} ( x ^{2} + 1 ) ^{2}} d x

integral of (2^x+3^x)

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

integral of (2x+8)e^{(x+4)^2}

\int (2 x + 8) e^{(x + 4)^{2}} d x

integral of 1/(x(1+x^{10))}

\int \frac{1}{x ( 1 + x ^{10} )} d x

Frequently Asked Questions (FAQ)

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