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

The integral from 4 to 6 of x^2+2x-4 is 188/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\frac{188}{3}

Decimal

62.66666 \dots

Solution steps

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

\int_{4}^{6} x^{2} d x = \frac{152}{3}

\int_{4}^{6} 2 x d x = 20

\int_{4}^{6} 4 d x = 8

= \frac{152}{3} + 20 - 8

Simplify

\frac{152}{3} + 20 - 8 : \frac{188}{3}

= \frac{188}{3}

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

\int_{0}^{\infty} e^{- 2 x} x d x

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

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

\int_{0}^{l} 1

What is the integral from 4 to 6 of x^2+2x-4 ?
The integral from 4 to 6 of x^2+2x-4 is 188/3