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Popular Calculus >

integral of (3^x)^2

Solution

integral

(3^{x})^{2}

Solution

\frac{9 ^{x}}{2 ln ( 3 )} + C

Solution steps

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

Simplify

(3^{x})^{2} : 9^{x}

= \int 9^{x} d x

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

= \frac{9 ^{x}}{ln ( 9 )}

Simplify

ln (9) : 2 ln (3)

= \frac{9 ^{x}}{2 ln ( 3 )}

Add a constant to the solution

= \frac{9 ^{x}}{2 ln ( 3 )} + C

Graph

Popular Examples

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in t e g r a l \frac{1}{7 [ \frac{1}{x} ]}

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in t e g r a l \frac{( 3 t + 4 )}{( 2 t + 3 )}

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integral of (4x+9)^{1/2}

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integral of (2x+8)^3

in t e g r a l (2 x + 8)^{3}

Frequently Asked Questions (FAQ)

What is the integral of (3^x)^2 ?
The integral of (3^x)^2 is (9^x)/(2ln(3))+C