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Popular >

integral from 0 to 2 of x^2-x-2

Solution

\int_{0}^{2} x^{2} - x - 2 d x

Solution

- \frac{10}{3}

+1

Decimal

- 3.33333 \dots

Solution steps

\int_{0}^{2} x^{2} - 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_{0}^{2} x^{2} d x - \int_{0}^{2} x d x - \int_{0}^{2} 2 d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} x d x = 2

\int_{0}^{2} 2 d x = 4

= \frac{8}{3} - 2 - 4

Simplify

\frac{8}{3} - 2 - 4 : - \frac{10}{3}

= - \frac{10}{3}

Graph

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\int_{0}^{π} (4 e^{x} + 9 sin (x)) d x

integral from-2 to 1 of e^x

\int_{- 2}^{1} e^{x} d x

integral from 1 to 3 of sqrt(x+1)

\int_{1}^{3} x + 1 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2-x-2 ?
The integral from 0 to 2 of x^2-x-2 is -10/3