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Popular Calculus >

integral from-2 to 1 of x^2-x+2

Solution

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

Solution

\frac{21}{2}

+1

Decimal

10.5

Solution steps

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

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

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

\int_{- 2}^{1} 2 d x = 6

= 3 - (- \frac{3}{2}) + 6

Simplify

3 - (- \frac{3}{2}) + 6 : \frac{21}{2}

= \frac{21}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x^2-x+2 ?
The integral from-2 to 1 of x^2-x+2 is 21/2