What is the integral from 7 to 9 of x^2+2x-6 ?

The integral from 7 to 9 of x^2+2x-6 is 446/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 7 to 9 of x^2+2x-6

\int_{7}^{9} x^{2} + 2 x - 6 d x

\frac{446}{3}

Decimal

148.66666 \dots

Solution steps

\int_{7}^{9} x^{2} + 2 x - 6 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_{7}^{9} x^{2} d x + \int_{7}^{9} 2 x d x - \int_{7}^{9} 6 d x

\int_{7}^{9} x^{2} d x = \frac{386}{3}

\int_{7}^{9} 2 x d x = 32

\int_{7}^{9} 6 d x = 12

= \frac{386}{3} + 32 - 12

Simplify

\frac{386}{3} + 32 - 12 : \frac{446}{3}

= \frac{446}{3}

\int_{0}^{a} 2 x a^{2} - x^{2} d x

\int_{7}^{9} x^{2} + 2 x - 2 d x

\int_{- 4}^{- 3} (- x^{2} - 3 x) d x

\int_{0}^{\infty} λ x e^{- λ x} d x

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

What is the integral from 7 to 9 of x^2+2x-6 ?
The integral from 7 to 9 of x^2+2x-6 is 446/3