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^2-6)

Solution

\int_{0}^{5} (x^{2} - 6) d x

Solution

\frac{35}{3}

+1

Decimal

11.66666 \dots

Solution steps

\int_{0}^{5} x^{2} - 6 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} 6 d x

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

\int_{0}^{5} 6 d x = 30

= \frac{125}{3} - 30

Simplify

\frac{125}{3} - 30 : \frac{35}{3}

= \frac{35}{3}

Graph

Popular Examples

integral from 0 to 3 of 5/(x+4)

\int_{0}^{3} \frac{5}{x + 4} d x

integral from 1 to 4 of (1+x)/(sqrt(x))

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

integral from 0 to 1/2 of xcos((pikx)/2)

\int_{0}^{\frac{1}{2}} x cos (\frac{πk x}{2}) d x

integral from 0 to 3 of (e^x)/(4+e^x)

\int_{0}^{3} \frac{e ^{x}}{4 + e ^{x}} d x

integral from 0 to 3 of 3y-y^2

\int_{0}^{3} 3 y - y^{2} d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x^2-6) ?
The integral from 0 to 5 of (x^2-6) is 35/3