en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 3 of (x+5)

Solution

\int_{0}^{3} (x + 5) d x

Solution

\frac{39}{2}

+1

Decimal

19.5

Solution steps

\int_{0}^{3} x + 5 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{3} x d x + \int_{0}^{3} 5 d x

\int_{0}^{3} x d x = \frac{9}{2}

\int_{0}^{3} 5 d x = 15

= \frac{9}{2} + 15

Simplify

\frac{9}{2} + 15 : \frac{39}{2}

= \frac{39}{2}

Graph

Popular Examples

integral from-sqrt(5) to sqrt(5 of)5-x^2

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

integral from 0 to e of (x^2)/(x^3+e)

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

integral from 0 to pi/2 of (θsin^2(θ))/2

\int_{0}^{\frac{π}{2}} \frac{θ sin ^{2} ( θ )}{2} d θ

integral from 2 to 5 of 1/((5x-20)^3)

\int_{2}^{5} \frac{1}{( 5 x - 20 ) ^{3}} d x

integral from 1 to 3 of 3/20 (x-3)^2

\int_{1}^{3} \frac{3}{20} (x - 3)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x+5) ?
The integral from 0 to 3 of (x+5) is 39/2