en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 4 of x^2+x-6

Solution

\int_{- 1}^{4} x^{2} + x - 6 d x

Solution

- \frac{5}{6}

+1

Decimal

- 0.83333 \dots

Solution steps

\int_{- 1}^{4} x^{2} + x - 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_{- 1}^{4} x^{2} d x + \int_{- 1}^{4} x d x - \int_{- 1}^{4} 6 d x

\int_{- 1}^{4} x^{2} d x = \frac{65}{3}

\int_{- 1}^{4} x d x = \frac{15}{2}

\int_{- 1}^{4} 6 d x = 30

= \frac{65}{3} + \frac{15}{2} - 30

Simplify

\frac{65}{3} + \frac{15}{2} - 30 : - \frac{5}{6}

= - \frac{5}{6}

Graph

Popular Examples

integral from 1 to 5 of (3/x)

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

integral from 0 to 1 of e^{10x-9}

\int_{0}^{1} e^{10 x - 9} d x

integral from 0.5 to 1 of ln(x)+x

\int_{0.5}^{1} ln (x) + x d x

integral from 0 to 2 of 3x(x-3)

\int_{0}^{2} 3 x (x - 3) d x

integral from 0 to 4 of 2x+2

\int_{0}^{4} 2 x + 2 d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 4 of x^2+x-6 ?
The integral from-1 to 4 of x^2+x-6 is -5/6