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Popular Calculus >

integral from-2 to 2 of (-x^2+3)

Solution

\int_{- 2}^{2} (- x^{2} + 3) d x

Solution

\frac{20}{3}

+1

Decimal

6.66666 \dots

Solution steps

\int_{- 2}^{2} - x^{2} + 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_{- 2}^{2} x^{2} d x + \int_{- 2}^{2} 3 d x

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

\int_{- 2}^{2} 3 d x = 12

= - \frac{16}{3} + 12

Simplify

- \frac{16}{3} + 12 : \frac{20}{3}

= \frac{20}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (-x^2+3) ?
The integral from-2 to 2 of (-x^2+3) is 20/3