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Popular >

integral of 3^x

Solution

integral

3^{x}

Solution

\frac{3 ^{x}}{ln ( 3 )} + C

Solution steps

\int 3^{x} d x

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

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

Add a constant to the solution

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

Popular Examples

integral of (2x-3)/(x^2-3x+8)

\int \frac{2 x - 3}{x ^{2} - 3 x + 8} d x

integral of (1+ln(x))/((xln(x))2)

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

integral of (e^{3x})/(1-e^{3x)}

\int \frac{e ^{3 x}}{1 - e ^{3 x}} d x

integral of (x^3-3x+2)

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

integral of (e^x)/((3-e^x)^2)

\int \frac{e ^{x}}{( 3 - e ^{x} ) ^{2}} d x

Frequently Asked Questions (FAQ)

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