What is the integral from-1 to 3 of (-x^3-5x+1) ?

The integral from-1 to 3 of (-x^3-5x+1) is -36

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 3 of (-x^3-5x+1)

\int_{- 1}^{3} (- x^{3} - 5 x + 1) d x

- 36

Solution steps

\int_{- 1}^{3} - x^{3} - 5 x + 1 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}^{3} x^{3} d x - \int_{- 1}^{3} 5 x d x + \int_{- 1}^{3} 1 d x

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 5 x d x = 20

\int_{- 1}^{3} 1 d x = 4

= - 20 - 20 + 4

Simplify

= - 36

\int_{1}^{2} (ln (4 x))^{2} d x

\int_{0}^{1} (x^{4} + 5)^{3} x^{3} d x

\int_{1}^{4} 1 + 4 x^{2} d x

\int_{1}^{3} \frac{y + 4}{y - 4} d y

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

What is the integral from-1 to 3 of (-x^3-5x+1) ?
The integral from-1 to 3 of (-x^3-5x+1) is -36