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Popular Calculus >

integral from-5 to 5 of (x^2-4)

Solution

\int_{- 5}^{5} (x^{2} - 4) d x

Solution

\frac{130}{3}

+1

Decimal

43.33333 \dots

Solution steps

\int_{- 5}^{5} x^{2} - 4 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_{- 5}^{5} x^{2} d x - \int_{- 5}^{5} 4 d x

\int_{- 5}^{5} x^{2} d x = \frac{250}{3}

\int_{- 5}^{5} 4 d x = 40

= \frac{250}{3} - 40

Simplify

\frac{250}{3} - 40 : \frac{130}{3}

= \frac{130}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of (x^2-4) ?
The integral from-5 to 5 of (x^2-4) is 130/3