What is the integral from 4 to 5.2 of log_{e}(x) ?

The integral from 4 to 5.2 of log_{e}(x) is 1.82784…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 4 to 5.2 of log_{e}(x)

\int_{4}^{5.2} lo g_{e} (x) d x

1.82784 \dots

Solution steps

\int_{4}^{5.2} lo g_{e} (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{4}^{5.2}

= [x ln (x) - \int 1 d x]_{4}^{5.2}

\int 1 d x = x

= [x ln (x) - x]_{4}^{5.2}

Compute the boundaries:

1.82784 \dots

= 1.82784 \dots

\int_{10}^{20} 10 (3 x + 4)^{2} d x

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

\int_{0}^{2} (7 x^{2} - 3 x + 2) d x

\int_{1}^{2} \frac{1}{x ( 1 + ln ( x ) )} d x

\int_{0}^{2} (y + 3) d y

What is the integral from 4 to 5.2 of log_{e}(x) ?
The integral from 4 to 5.2 of log_{e}(x) is 1.82784…