What is the integral from 2 to 6 of ln(x+3) ?

The integral from 2 to 6 of ln(x+3) is 18ln(3)-4-5ln(5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 6 of ln(x+3)

\int_{2}^{6} ln (x + 3) d x

18 ln (3) - 4 - 5 ln (5)

Decimal

7.72783 \dots

Solution steps

\int_{2}^{6} ln (x + 3) d x

Apply u-substitution

: \int_{5}^{9} ln (u) d u

= \int_{5}^{9} ln (u) d u

Apply Integration By Parts

: [u ln (u) - \int 1 d u]_{5}^{9}

= [u ln (u) - \int 1 d u]_{5}^{9}

\int 1 d u = u

= [u ln (u) - u]_{5}^{9}

Compute the boundaries:

18 ln (3) - 4 - 5 ln (5)

= 18 ln (3) - 4 - 5 ln (5)

\int_{2}^{3} (\frac{1}{t - 1} + t) d t

\int_{1}^{e^{4}} \frac{8 ln ( x )}{x} d x

\int_{a}^{b} \frac{x + y}{x - y} d x

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

\int_{0}^{1} 5 x^{6} d x

What is the integral from 2 to 6 of ln(x+3) ?
The integral from 2 to 6 of ln(x+3) is 18ln(3)-4-5ln(5)