en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-2 to 1 of (2x^3+1)

Solution

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

Solution

- \frac{9}{2}

+1

Decimal

- 4.5

Solution steps

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

\int_{- 2}^{1} 2 x^{3} d x = - \frac{15}{2}

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

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

Simplify

- \frac{15}{2} + 3 : - \frac{9}{2}

= - \frac{9}{2}

Graph

Popular Examples

integral from 0 to 4 of x/(sqrt(8-x))

integral from 0 to 1 of 1/(x^3-5x^2)

integral from 0 to 2pi of 1/(2+cos(x))

integral from-infinity to 0 of e^{-|5x|}

integral from-5 to-1 of 1/(x^2-8x+7)

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (2x^3+1) ?
The integral from-2 to 1 of (2x^3+1) is -9/2