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

The integral from 0 to 3 of (x^2+2x+3) is 27

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 3 of (x^2+2x+3)

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

27

Solution steps

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

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 2 x d x = 9

\int_{0}^{3} 3 d x = 9

= 9 + 9 + 9

Simplify

= 27

\int_{- 1}^{0} 2 x^{2} (2 x^{3} - 1)^{3} d x

\int_{0}^{12} \frac{1}{x + 12} d x

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

\int_{0}^{5} 2 t d t

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

What is the integral from 0 to 3 of (x^2+2x+3) ?
The integral from 0 to 3 of (x^2+2x+3) is 27