What is the integral from 2 to 3 of x/8 ?

The integral from 2 to 3 of x/8 is 5/16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 3 of x/8

\int_{2}^{3} \frac{x}{8} d x

\frac{5}{16}

Decimal Notation

0.3125

Solution steps

\int_{2}^{3} \frac{x}{8} d x

Take the constant out:

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

= \frac{1}{8} \cdot \int_{2}^{3} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{3}

= \frac{1}{8} [\frac{x ^{2}}{2}]_{2}^{3}

Compute the boundaries:

\frac{5}{2}

= \frac{1}{8} \cdot \frac{5}{2}

Simplify

= \frac{5}{16}

\int_{0}^{1} x^{4} + 1 d x

\int_{0}^{5} 11 + x^{2} d x

\int_{1}^{4} \frac{1}{2 t} d t

\int_{0}^{1} e^{x} + 2 x d x

What is the integral from 2 to 3 of x/8 ?
The integral from 2 to 3 of x/8 is 5/16