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

The integral from-2 to 1 of (x^2-2x+3) is 15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

15

Solution steps

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

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

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

\int_{- 2}^{1} 3 d x = 9

= 3 - (- 3) + 9

Simplify

= 15

\int_{16}^{20} 0.005 (20 - x) d x

\int_{0}^{x^{3}} e^{- t + 1} d t

\int_{- 1}^{1} 1 - ∣ x ∣ x d x

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

\int_{3}^{9} 20 e^{- 0.1 x^{2}} d x

What is the integral from-2 to 1 of (x^2-2x+3) ?
The integral from-2 to 1 of (x^2-2x+3) is 15