What is the integral from-4 to 5 of x^2-x-20 ?

The integral from-4 to 5 of x^2-x-20 is -243/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-4 to 5 of x^2-x-20

\int_{- 4}^{5} x^{2} - x - 20 d x

- \frac{243}{2}

Decimal

- 121.5

Solution steps

\int_{- 4}^{5} x^{2} - x - 20 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_{- 4}^{5} x^{2} d x - \int_{- 4}^{5} x d x - \int_{- 4}^{5} 20 d x

\int_{- 4}^{5} x^{2} d x = 63

\int_{- 4}^{5} x d x = \frac{9}{2}

\int_{- 4}^{5} 20 d x = 180

= 63 - \frac{9}{2} - 180

Simplify

63 - \frac{9}{2} - 180 : - \frac{243}{2}

= - \frac{243}{2}

\int_{2}^{4} (x) d x

\int_{0}^{y - z} (2 x - y) d x

\int_{3}^{5} 3 x x^{2} - 9 d x

\int_{\frac{1}{e}}^{t a n (x)} \frac{t}{1 + t ^{2}} d t

\int_{1}^{2} (x^{3} + 6 x) d x

What is the integral from-4 to 5 of x^2-x-20 ?
The integral from-4 to 5 of x^2-x-20 is -243/2