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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

integral of 1/(xsqrt(4-9(ln(x))^2))

\int \frac{1}{x 4 - 9 ( ln ( x ) ) ^{2}} d x

integral of e^{2x}sqrt(e^{2x)+1}

\int e^{2 x} e^{2 x} + 1 d x

integral of x^{13}ln(8x^7)

\int x^{13} ln (8 x^{7}) d x

integral of 1/(3xsqrt(4x^2-1))

\int \frac{1}{3 x 4 x ^{2} - 1} d x

integral of (cos(pi)ti+sin(pi)tj+tk)

\int (cos (π) t i + sin (π) t j + t k) d t

Frequently Asked Questions (FAQ)

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