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Popular Calculus >

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

Solution

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

Solution

- \frac{4}{3}

+1

Decimal

- 1.33333 \dots

Solution steps

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

\int_{- 2}^{2} 1 d x = 4

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

= 4 - \frac{16}{3}

Simplify

4 - \frac{16}{3} : - \frac{4}{3}

= - \frac{4}{3}

Graph

Popular Examples

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integral from 0 to 1 of x/((x^2+3)^3)

integral from 0 to sin(2x) of arcsin(t)

Frequently Asked Questions (FAQ)

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