What is the integral from 1 to e of 8ln(x) ?

The integral from 1 to e of 8ln(x) is 8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to e of 8ln(x)

\int_{1}^{e} 8 ln (x) d x

8

Solution steps

\int_{1}^{e} 8 ln (x) d x

Take the constant out:

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

= 8 \cdot \int_{1}^{e} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{1}^{e}

= 8 [x ln (x) - \int 1 d x]_{1}^{e}

\int 1 d x = x

= 8 [x ln (x) - x]_{1}^{e}

Compute the boundaries:

1

= 8 \cdot 1

Simplify

= 8

\int_{0}^{2} y + x e^{y} d x

\int_{0}^{1} \frac{16}{x ^{2} - 16} d x

\int_{0}^{\frac{π}{2}} x cos^{3} (x) d x

\int_{- 2}^{4} 50 + 3 x^{2} d x

\int_{0}^{\frac{π}{2}} e^{- x} cos (x) d x

What is the integral from 1 to e of 8ln(x) ?
The integral from 1 to e of 8ln(x) is 8