What is the integral from-6 to 2 of x-sqrt(12-4x) ?

The integral from-6 to 2 of x-sqrt(12-4x) is -152/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-6 to 2 of x-sqrt(12-4x)

\int_{- 6}^{2} x - 12 - 4 x d x

- \frac{152}{3}

Decimal

- 50.66666 \dots

Solution steps

\int_{- 6}^{2} x - 12 - 4 x 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_{- 6}^{2} x d x - \int_{- 6}^{2} 12 - 4 x d x

\int_{- 6}^{2} x d x = - 16

\int_{- 6}^{2} 12 - 4 x d x = \frac{104}{3}

= - 16 - \frac{104}{3}

Simplify

- 16 - \frac{104}{3} : - \frac{152}{3}

= - \frac{152}{3}

\int_{0.5}^{0.75} 12 x^{2} d x

\int_{1}^{3} \frac{3}{7 x - 2} d x

\int_{x}^{4} \frac{6 ( y - x )}{64} d y

\int_{0}^{l o g_{6} (2)} 6^{x} d x

\int_{- 1}^{1} \frac{x}{1 + x ^{4}} d x

What is the integral from-6 to 2 of x-sqrt(12-4x) ?
The integral from-6 to 2 of x-sqrt(12-4x) is -152/3