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 Notation

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}^{1} (2 a + 1)^{4} d a

\int_{0}^{1} f (t) d t

\int_{1}^{6} \frac{3}{x} d x

\int_{π}^{2 π} θ d θ

\int_{0}^{1} \frac{1}{2} 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