What is the integral from-3 to 5 of-x^2+2x+15 ?

The integral from-3 to 5 of-x^2+2x+15 is 256/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-3 to 5 of-x^2+2x+15

\int_{- 3}^{5} - x^{2} + 2 x + 15 d x

\frac{256}{3}

Decimal

85.33333 \dots

Solution steps

\int_{- 3}^{5} - x^{2} + 2 x + 15 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_{- 3}^{5} x^{2} d x + \int_{- 3}^{5} 2 x d x + \int_{- 3}^{5} 15 d x

\int_{- 3}^{5} x^{2} d x = \frac{152}{3}

\int_{- 3}^{5} 2 x d x = 16

\int_{- 3}^{5} 15 d x = 120

= - \frac{152}{3} + 16 + 120

Simplify

- \frac{152}{3} + 16 + 120 : \frac{256}{3}

= \frac{256}{3}

What is the integral from-3 to 5 of-x^2+2x+15 ?
The integral from-3 to 5 of-x^2+2x+15 is 256/3