What is the integral from 1 to 2 of 3^{5x} ?

The integral from 1 to 2 of 3^{5x} is (58806)/(5ln(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 2 of 3^{5x}

\int_{1}^{2} 3^{5 x} d x

\frac{58806}{5 ln ( 3 )}

Solution steps

\int_{1}^{2} 3^{5 x} d x

Simplify

3^{5 x} : 24 3^{x}

= \int_{1}^{2} 24 3^{x} d x

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

= [\frac{24 3 ^{x}}{ln ( 243 )}]_{1}^{2}

Simplify

ln (243) : 5 ln (3)

= [\frac{24 3 ^{x}}{5 ln ( 3 )}]_{1}^{2}

Compute the boundaries:

\frac{58806}{5 ln ( 3 )}

= \frac{58806}{5 ln ( 3 )}

\int_{- π}^{π} z^{2} cos (2 z) d z

\int_{0}^{\infty} 3 x e^{- x} d x

\int_{0}^{c} 8 e^{x} d x

\int_{2}^{4} 6 x ln (x) d x

\int_{1}^{2} ln (y) d y

What is the integral from 1 to 2 of 3^{5x} ?
The integral from 1 to 2 of 3^{5x} is (58806)/(5ln(3))