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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 4tan^4(x)sec^6(x)

\int 4 tan^{4} (x) sec^{6} (x) d x

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

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

integral of x/(\sqrt[4]{x+9)}

derivative of x^3+2x^2-x-1

\frac{d}{d x} (x^{3} + 2 x^{2} - x - 1)

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

\int_{1}^{2} \frac{x ^{2} + 1}{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