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-x-3

Solution

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

Solution

- \frac{9}{2}

+1

Decimal

- 4.5

Solution steps

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

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

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

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

= 9 - \frac{9}{2} - 9

Simplify

= - \frac{9}{2}

Graph

Popular Examples

integral from x to 1 of 1/x

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

integral from 0 to 2 of 8*2^{-x}-2

\int_{0}^{2} 8 \cdot 2^{- x} - 2 d x

integral from-1 to 1 of (|x|-1/2)^2

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

integral from 1 to 6 of (-x^2+7x-6)

\int_{1}^{6} (- x^{2} + 7 x - 6) d x

integral from 0 to 20 of (840-42x)

\int_{0}^{20} (840 - 42 x) d x

Frequently Asked Questions (FAQ)

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