What is the integral from 0 to 7/12 of 20x ?

The integral from 0 to 7/12 of 20x is 245/72

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 7/12 of 20x

\int_{0}^{\frac{7}{12}} 20 x d x

\frac{245}{72}

Decimal Notation

3.40277 \dots

Solution steps

\int_{0}^{\frac{7}{12}} 20 x d x

Take the constant out:

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

= 20 \cdot \int_{0}^{\frac{7}{12}} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{\frac{7}{12}}

= 20 [\frac{x ^{2}}{2}]_{0}^{\frac{7}{12}}

Compute the boundaries:

\frac{49}{288}

= 20 \cdot \frac{49}{288}

Simplify

= \frac{245}{72}

\int_{0}^{\infty} \frac{3}{x ^{2} + 1} d x

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

\int_{0}^{2} e^{- s t} d t

\int_{- \infty}^{0} \frac{7}{x - 1} d x

\int_{0}^{50} x^{2} - 50 x + 700 d x

What is the integral from 0 to 7/12 of 20x ?
The integral from 0 to 7/12 of 20x is 245/72