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Popular Calculus >

integral from-2 to 5 of x^2-2x-3

Solution

\int_{- 2}^{5} x^{2} - 2 x - 3 d x

Solution

\frac{7}{3}

+1

Decimal

2.33333 \dots

Solution steps

\int_{- 2}^{5} x^{2} - 2 x - 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}^{5} x^{2} d x - \int_{- 2}^{5} 2 x d x - \int_{- 2}^{5} 3 d x

\int_{- 2}^{5} x^{2} d x = \frac{133}{3}

\int_{- 2}^{5} 2 x d x = 21

\int_{- 2}^{5} 3 d x = 21

= \frac{133}{3} - 21 - 21

Simplify

\frac{133}{3} - 21 - 21 : \frac{7}{3}

= \frac{7}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of x^2-2x-3 ?
The integral from-2 to 5 of x^2-2x-3 is 7/3