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Popular Calculus >

integral from-1 to 3 of (x^2-3)

Solution

\int_{- 1}^{3} (x^{2} - 3) d x

Solution

- \frac{8}{3}

+1

Decimal

- 2.66666 \dots

Solution steps

\int_{- 1}^{3} 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_{- 1}^{3} x^{2} d x - \int_{- 1}^{3} 3 d x

\int_{- 1}^{3} x^{2} d x = \frac{28}{3}

\int_{- 1}^{3} 3 d x = 12

= \frac{28}{3} - 12

Simplify

\frac{28}{3} - 12 : - \frac{8}{3}

= - \frac{8}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (x^2-3) ?
The integral from-1 to 3 of (x^2-3) is -8/3