en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 4 to 5 of x^2-4x

Solution

\int_{4}^{5} x^{2} - 4 x d x

Solution

\frac{7}{3}

+1

Decimal

2.33333 \dots

Solution steps

\int_{4}^{5} x^{2} - 4 x 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_{4}^{5} x^{2} d x - \int_{4}^{5} 4 x d x

\int_{4}^{5} x^{2} d x = \frac{61}{3}

\int_{4}^{5} 4 x d x = 18

= \frac{61}{3} - 18

Simplify

\frac{61}{3} - 18 : \frac{7}{3}

= \frac{7}{3}

Graph

Popular Examples

integral from 0 to 9 of (x-1/2)

integral from 0 to 2pi of (cos^2(t))

integral from 1 to 10 of x(x-1)

integral from-2 to 2 of 4e^x

integral from 0 to pi of sin(x)+1

Frequently Asked Questions (FAQ)

What is the integral from 4 to 5 of x^2-4x ?
The integral from 4 to 5 of x^2-4x is 7/3