What is the integral from-1 to 6 of-x^2+5x+6 ?

The integral from-1 to 6 of-x^2+5x+6 is 343/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-1 to 6 of-x^2+5x+6

\int_{- 1}^{6} - x^{2} + 5 x + 6 d x

\frac{343}{6}

Decimal

57.16666 \dots

Solution steps

\int_{- 1}^{6} - x^{2} + 5 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_{- 1}^{6} x^{2} d x + \int_{- 1}^{6} 5 x d x + \int_{- 1}^{6} 6 d x

\int_{- 1}^{6} x^{2} d x = \frac{217}{3}

\int_{- 1}^{6} 5 x d x = \frac{175}{2}

\int_{- 1}^{6} 6 d x = 42

= - \frac{217}{3} + \frac{175}{2} + 42

Simplify

- \frac{217}{3} + \frac{175}{2} + 42 : \frac{343}{6}

= \frac{343}{6}

What is the integral from-1 to 6 of-x^2+5x+6 ?
The integral from-1 to 6 of-x^2+5x+6 is 343/6