What is the integral from 0 to 20 of x^2-13x+70 ?

The integral from 0 to 20 of x^2-13x+70 is 4400/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 20 of x^2-13x+70

\int_{0}^{20} x^{2} - 13 x + 70 d x

\frac{4400}{3}

Decimal

1466.66666 \dots

Solution steps

\int_{0}^{20} x^{2} - 13 x + 70 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_{0}^{20} x^{2} d x - \int_{0}^{20} 13 x d x + \int_{0}^{20} 70 d x

\int_{0}^{20} x^{2} d x = \frac{8000}{3}

\int_{0}^{20} 13 x d x = 2600

\int_{0}^{20} 70 d x = 1400

= \frac{8000}{3} - 2600 + 1400

Simplify

\frac{8000}{3} - 2600 + 1400 : \frac{4400}{3}

= \frac{4400}{3}

What is the integral from 0 to 20 of x^2-13x+70 ?
The integral from 0 to 20 of x^2-13x+70 is 4400/3