en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

- 5

Solution steps

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

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

\int_{- 2}^{- 1} 3 x^{2} d x = 7

= 2 - 7

Simplify

= - 5

Graph

Popular Examples

integral from pi/2 to pi of 3sin(x)

\int_{\frac{π}{2}}^{π} 3 sin (x) d x

integral from 0 to y/3 of ((y^2-9x^2)/2)

\int_{0}^{\frac{y}{3}} (\frac{y ^{2} - 9 x ^{2}}{2}) d x

integral from 1 to 8 of-1/8 x+1

\int_{1}^{8} - \frac{1}{8} x + 1 d x

integral from 0 to x of sqrt(9-t^2)

\int_{0}^{x} 9 - t^{2} d t

integral from 0 to x of 40e^{-5x-3y}

\int_{0}^{x} 40 e^{- 5 x - 3 y} d y

Frequently Asked Questions (FAQ)

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