en

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^2-6x+9

Solution

\int_{0}^{3} x^{2} - 6 x + 9 d x

Solution

9

Solution steps

\int_{0}^{3} x^{2} - 6 x + 9 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} 6 x d x + \int_{0}^{3} 9 d x

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

\int_{0}^{3} 6 x d x = 27

\int_{0}^{3} 9 d x = 27

= 9 - 27 + 27

Simplify

= 9

Graph

Popular Examples

integral from 0 to 1 of 6e^{3x}

\int_{0}^{1} 6 e^{3 x} d x

integral from 0 to 4 of 6-2x

\int_{0}^{4} 6 - 2 x d x

integral from-2 to 5 of (3+x-2|x|)

\int_{- 2}^{5} (3 + x - 2 ∣ x ∣) d x

integral from 0 to infinity of 2^x

\int_{0}^{\infty} 2^{x} d x

integral from 1 to 2 of 8x

\int_{1}^{2} 8 x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^2-6x+9 ?
The integral from 0 to 3 of x^2-6x+9 is 9