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 2x^2+2x-4

Solution

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

Solution

- 9

Solution steps

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

\int_{- 2}^{1} 2 x^{2} d x = 6

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

\int_{- 2}^{1} 4 d x = 12

= 6 - 3 - 12

Simplify

= - 9

Graph

Popular Examples

integral from 1 to 3 of r^2

\int_{1}^{3} r^{2} d r

integral from-2 to 2 of |x|-(6-x^2)

\int_{- 2}^{2} ∣ x ∣ - (6 - x^{2}) d x

integral from 0 to 1 of 9x^8(2-x^9)

\int_{0}^{1} 9 x^{8} (2 - x^{9}) d x

integral from 2 to 3 of x^4+4x-6

\int_{2}^{3} x^{4} + 4 x - 6 d x

integral from 0 to a of b/(a^2)(x-a)^2

\int_{0}^{a} \frac{b}{a ^{2}} (x - a)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of 2x^2+2x-4 ?
The integral from-2 to 1 of 2x^2+2x-4 is -9