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 4 of 6+4x-x^2

Solution

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

Solution

36

Solution steps

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

\int_{- 2}^{4} 6 d x = 36

\int_{- 2}^{4} 4 x d x = 24

\int_{- 2}^{4} x^{2} d x = 24

= 36 + 24 - 24

Simplify

= 36

Popular Examples

integral from 1 to e-1 of ln(x+1)

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

integral from 1 to 3 of 5^{5x}

\int_{1}^{3} 5^{5 x} d x

integral from 0 to pi/4 of xcos(4x)

\int_{0}^{\frac{π}{4}} x cos (4 x) d x

integral from 0 to 1 of 15xsqrt(1-x)

\int_{0}^{1} 15 x 1 - x d x

integral from 1 to 6 of (2x+1/x)

\int_{1}^{6} (2 x + \frac{1}{x}) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of 6+4x-x^2 ?
The integral from-2 to 4 of 6+4x-x^2 is 36