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Popular Calculus >

integral of 3^xln(3)

Solution

\int 3^{x} ln (3) d x

Solution

3^{x} + C

Solution steps

\int 3^{x} ln (3) d x

Take the constant out:

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

= ln (3) \cdot \int 3^{x} d x

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

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

Simplify

ln (3) \frac{3 ^{x}}{ln ( 3 )} : 3^{x}

= 3^{x}

Add a constant to the solution

= 3^{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3^xln(3) ?
The integral of 3^xln(3) is 3^x+C