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Popular Calculus >

integral of a^xln(a)

Solution

\int a^{x} ln (a) d x

Solution

a^{x} + C

Solution steps

\int a^{x} ln (a) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= ln (a) \cdot \int a^{x} d x

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

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

Simplify

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

= a^{x}

Add a constant to the solution

= a^{x} + C

Graph

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Frequently Asked Questions (FAQ)

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