en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 1 of 1-y^2

Solution

\int_{- 1}^{1} 1 - y^{2} d y

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

\int_{- 1}^{1} 1 - y^{2} d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{1} 1 d y - \int_{- 1}^{1} y^{2} d y

\int_{- 1}^{1} 1 d y = 2

\int_{- 1}^{1} y^{2} d y = \frac{2}{3}

= 2 - \frac{2}{3}

Simplify

2 - \frac{2}{3} : \frac{4}{3}

= \frac{4}{3}

Graph

Popular Examples

integral from 0 to pi/2 of sin(y)

\int_{0}^{\frac{π}{2}} sin (y) d y

integral from x to 2 of t+e^t

\int_{x}^{2} t + e^{t} d t

integral from 0 to 1-y of 24xy

\int_{0}^{1 - y} 24 x y d x

integral from 1 to 1.3 of sqrt(x)

\int_{1}^{1.3} x d x

integral from-2 to 0 of-7e^{-6t-3}

\int_{- 2}^{0} - 7 e^{- 6 t - 3} d t

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 1-y^2 ?
The integral from-1 to 1 of 1-y^2 is 4/3