What is the integral from 1 to 7 of x^2-4x-12 ?

The integral from 1 to 7 of x^2-4x-12 is -54

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 7 of x^2-4x-12

\int_{1}^{7} x^{2} - 4 x - 12 d x

- 54

Solution steps

\int_{1}^{7} x^{2} - 4 x - 12 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_{1}^{7} x^{2} d x - \int_{1}^{7} 4 x d x - \int_{1}^{7} 12 d x

\int_{1}^{7} x^{2} d x = 114

\int_{1}^{7} 4 x d x = 96

\int_{1}^{7} 12 d x = 72

= 114 - 96 - 72

Simplify

= - 54

x^{\frac{7}{2}} e^{x}

f (x) = (3 x^{2} - 10)^{- 14}

\frac{d}{d x} (\frac{3 x ^{2}}{5 x + 1})

x \to \infty lim (\frac{1}{x} + 1)

x

What is the integral from 1 to 7 of x^2-4x-12 ?
The integral from 1 to 7 of x^2-4x-12 is -54