What is the integral from-3 to 1 of x^3+3x^2-x+1 ?

The integral from-3 to 1 of x^3+3x^2-x+1 is 16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-3 to 1 of x^3+3x^2-x+1

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

16

Solution steps

\int_{- 3}^{1} x^{3} + 3 x^{2} - 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_{- 3}^{1} x^{3} d x + \int_{- 3}^{1} 3 x^{2} d x - \int_{- 3}^{1} x d x + \int_{- 3}^{1} 1 d x

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

\int_{- 3}^{1} 3 x^{2} d x = 28

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

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

= - 20 + 28 - (- 4) + 4

Simplify

= 16

\int_{0}^{π} x^{2} \cdot sin (3 x) d x

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

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

\int_{- 1}^{1} (2 - 2 x^{2}) d x

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

What is the integral from-3 to 1 of x^3+3x^2-x+1 ?
The integral from-3 to 1 of x^3+3x^2-x+1 is 16