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Popular >

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

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

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{9}{2}

= \frac{9}{2}

Graph

Popular Examples

(5+x^8)(dy}{dx}=\frac{x^7)/y

(5 + x^{8}) \frac{d y}{d x} = \frac{x ^{7}}{y}

derivative of (8-3x/(x^2-6x+8))

\frac{d}{d x} (\frac{8 - 3 x}{x ^{2} - 6 x + 8})

limit as x approaches 0 of (-7+x)/(x^2)

x \to 0 lim (\frac{- 7 + x}{x ^{2}})

limit as x approaches 2 of 3

x \to 2 lim (3)

integral from 0 to 1 of 2pi(x+1)x^2

\int_{0}^{1} 2 π (x + 1) x^{2} d x

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 9/2