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Popular >

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

Popular Examples

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\int_{- 2}^{8} x^{2} d x

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\int_{1}^{t^{2}} arctan (u) d u

integral from 6.1 to 7.2 of 12x^2-6x+4/x

\int_{6.1}^{7.2} 12 x^{2} - 6 x + \frac{4}{x} d x

integral from-5pi to 5pi of cos^2(x)

\int_{- 5 π}^{5 π} cos^{2} (x) d x

integral from 0 to pi of 2sin(t)

\int_{0}^{π} 2 sin (t) d t

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