en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-1 to 1 of 3x^3-2x+5

Solution

\int_{- 1}^{1} 3 x^{3} - 2 x + 5 d x

Solution

10

Solution steps

\int_{- 1}^{1} 3 x^{3} - 2 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_{- 1}^{1} 3 x^{3} d x - \int_{- 1}^{1} 2 x d x + \int_{- 1}^{1} 5 d x

\int_{- 1}^{1} 3 x^{3} d x = 0

\int_{- 1}^{1} 2 x d x = 0

\int_{- 1}^{1} 5 d x = 10

= 0 - 0 + 10

Simplify

= 10

Graph

Popular Examples

integral from 0 to 4 of (4-t)(sqrt(t))

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

integral from 1 to 4 of (x^{1/2}-x^2)

integral from 4 to 8 of 9

integral from 0 to 2 of x^2-(-x^2+4x)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 3x^3-2x+5 ?
The integral from-1 to 1 of 3x^3-2x+5 is 10