What is the integral from 2 to 3 of 3^{2x} ?

The integral from 2 to 3 of 3^{2x} is (324)/(ln(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 3 of 3^{2x}

\int_{2}^{3} 3^{2 x} d x

\frac{324}{ln ( 3 )}

Solution steps

\int_{2}^{3} 3^{2 x} d x

Simplify

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

= \int_{2}^{3} 9^{x} d x

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

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

Simplify

ln (9) : 2 ln (3)

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

Compute the boundaries:

\frac{324}{ln ( 3 )}

= \frac{324}{ln ( 3 )}

\int_{- 2}^{1} 2 d x

\int_{- π}^{π} sin (n x) sin (2 x) d x

\int_{0}^{9} 4 x d x

\int_{0}^{\frac{l n ( 6 )}{4}} \frac{( 5 e ^{4 u} )}{e ^{4 u} + 3} d u

\int_{- 1}^{3} (3 u - 5) (u + 2) d u

What is the integral from 2 to 3 of 3^{2x} ?
The integral from 2 to 3 of 3^{2x} is (324)/(ln(3))