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Popular >

integral of (8^x)

Solution

\int (8^{x}) d x

Solution

\frac{8 ^{x}}{3 ln ( 2 )} + C

Solution steps

\int 8^{x} d x

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

= \frac{8 ^{x}}{ln ( 8 )}

Simplify

ln (8) : 3 ln (2)

= \frac{8 ^{x}}{3 ln ( 2 )}

Add a constant to the solution

= \frac{8 ^{x}}{3 ln ( 2 )} + C

Popular Examples

integral of (sec^2(x))/(sin(x))

\int \frac{sec ^{2} ( x )}{sin ( x )} d x

integral of 2(cos(e^x)-e^xxsin(e^x))

\int 2 (cos (e^{x}) - e^{x} x sin (e^{x})) d x

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

\int \frac{x + x ^{2}}{x ^{2}} d x

integral of sqrt(1-cos(θ))

\int 1 - cos (θ) d θ

integral of (tan(2x)-sec(2x))^2

\int (tan (2 x) - sec (2 x))^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of (8^x) ?
The integral of (8^x) is (8^x)/(3ln(2))+C