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Popular Calculus >

integral from-2 to 3 of (4-x^2)

Solution

\int_{- 2}^{3} (4 - x^{2}) d x

Solution

\frac{25}{3}

+1

Decimal

8.33333 \dots

Solution steps

\int_{- 2}^{3} 4 - 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}^{3} 4 d x - \int_{- 2}^{3} x^{2} d x

\int_{- 2}^{3} 4 d x = 20

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

= 20 - \frac{35}{3}

Simplify

20 - \frac{35}{3} : \frac{25}{3}

= \frac{25}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (4-x^2) ?
The integral from-2 to 3 of (4-x^2) is 25/3