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Popular >

integral of a^x

Solution

\int a^{x} d x

Solution

\frac{a ^{x}}{ln ( a )} + C

Solution steps

\int a^{x} d x

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

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

Add a constant to the solution

= \frac{a ^{x}}{ln ( a )} + C

Popular Examples

limit as x approaches 1 of x^2+2x

x \to 1 lim (x^{2} + 2 x)

derivative of (sin(3x)^4)

\frac{d}{d x} ((sin (3 x))^{4})

integral of 1/(sqrt(2-x))

\int \frac{1}{2 - x} d x

derivative of (5+x)/(1-5x)derivative of

\frac{5 + x}{1 - 5 x}

limit as x approaches 0 of (e^{-3x}-1)/x

x \to 0 lim (\frac{e ^{- 3 x} - 1}{x})

Frequently Asked Questions (FAQ)

What is the integral of a^x ?
The integral of a^x is (a^x)/(ln(a))+C