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 5 of (x^2-5)

Solution

\int_{0}^{5} (x^{2} - 5) d x

Solution

\frac{50}{3}

+1

Decimal

16.66666 \dots

Solution steps

\int_{0}^{5} x^{2} - 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}^{5} x^{2} d x - \int_{0}^{5} 5 d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 5 d x = 25

= \frac{125}{3} - 25

Simplify

\frac{125}{3} - 25 : \frac{50}{3}

= \frac{50}{3}

Graph

Popular Examples

integral from-pi/3 to (2pi)/3 of 3tan(x)

\int_{- \frac{π}{3}}^{\frac{2 π}{3}} 3 tan (x) d x

integral from 0 to 4 of (4-y)

\int_{0}^{4} (4 - y) d y

integral from 0 to 1 of (8-6x^2)

\int_{0}^{1} (8 - 6 x^{2}) d x

integral from 0 to pi/2 of cos^2(3x)

\int_{0}^{\frac{π}{2}} cos^{2} (3 x) d x

integral from 0 to 3 of 1/(sqrt(3x-x^2))

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x^2-5) ?
The integral from 0 to 5 of (x^2-5) is 50/3