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 1-x^2

Solution

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

Solution

- 6

Solution steps

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

\int_{0}^{3} 1 d x = 3

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

= 3 - 9

Simplify

= - 6

Popular Examples

integral from 4 to infinity of 1/(x^2)

\int_{4}^{\infty} \frac{1}{x ^{2}} d x

integral from 0 to 4 of (4-x^2)-(4-4x)

\int_{0}^{4} (4 - x^{2}) - (4 - 4 x) d x

integral from 5 to x^2 of 2sqrt(1+x^2)

\int_{5}^{x^{2}} 2 1 + x^{2} d x

integral from 0 to 1 of ln|x+1|

\int_{0}^{1} ln ∣ x + 1 ∣ d x

integral from 0 to 4 of 1-e^{-x}

\int_{0}^{4} 1 - e^{- x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 1-x^2 ?
The integral from 0 to 3 of 1-x^2 is -6