What is the integral from 2 to 0 of x^3-3x^2+2 ?

The integral from 2 to 0 of x^3-3x^2+2 is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 0 of x^3-3x^2+2

\int_{2}^{0} x^{3} - 3 x^{2} + 2 d x

0

Solution steps

\int_{2}^{0} x^{3} - 3 x^{2} + 2 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{0}^{2} x^{3} - 3 x^{2} + 2 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}^{2} x^{3} d x - \int_{0}^{2} 3 x^{2} d x + \int_{0}^{2} 2 d x)

\int_{0}^{2} x^{3} d x = 4

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 2 d x = 4

= - (4 - 8 + 4)

Simplify

= 0

\int_{2}^{3} \frac{1}{x ^{4} - x ^{2}} d x

\int_{0}^{l n (2)} e^{2 x} (5 - e) d x

\int_{- 1}^{0} e^{2 x} d x

\int_{- 2}^{x} 100 - x^{4} d x

\int_{1}^{6} sin (4 x + 2.8) d x

What is the integral from 2 to 0 of x^3-3x^2+2 ?
The integral from 2 to 0 of x^3-3x^2+2 is 0