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

The integral from 2 to 5 of x/3 is 7/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 5 of x/3

\int_{2}^{5} \frac{x}{3} d x

\frac{7}{2}

Decimal

3.5

Solution steps

\int_{2}^{5} \frac{x}{3} d x

Take the constant out:

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

= \frac{1}{3} \cdot \int_{2}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{5}

= \frac{1}{3} [\frac{x ^{2}}{2}]_{2}^{5}

Compute the boundaries:

\frac{21}{2}

= \frac{1}{3} \cdot \frac{21}{2}

Simplify

= \frac{7}{2}

n = 0 \sum \infty (1 + \frac{1}{n})^{n}

8 cot (\frac{π x}{16})

\frac{d}{d x} (3 sec (5 x))

\frac{d}{d x} (7 arctan (x))

x \to 1 lim (4 x - x^{2})

What is the integral from 2 to 5 of x/3 ?
The integral from 2 to 5 of x/3 is 7/2