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Popular >

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

Solution

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

Solution

- \frac{8}{3}

+1

Decimal Notation

- 2.66666 \dots

Solution steps

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

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

\int_{- 2}^{2} 2 d y = 8

= \frac{16}{3} - 8

Simplify

\frac{16}{3} - 8 : - \frac{8}{3}

= - \frac{8}{3}

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of y^2-2 ?
The integral from-2 to 2 of y^2-2 is -8/3