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Popular >

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

Solution

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

Solution

- \frac{3}{2}

+1

Decimal

- 1.5

Solution steps

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

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

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

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

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

Simplify

3 + \frac{3}{2} - 6 : - \frac{3}{2}

= - \frac{3}{2}

Graph

Popular Examples

integral from-1 to 2 of y^2

\int_{- 1}^{2} y^{2} d y

integral from 0 to 2 of 1/(4x-5)

\int_{0}^{2} \frac{1}{4 x - 5} d x

integral from-1 to 1 of (e^{1/x})/(x^2)

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

integral from 0 to ln(3) of 1/(1+e^x)

\int_{0}^{l n (3)} \frac{1}{1 + e ^{x}} d x

integral from 0 to 3 of-e^{-2y}+1

\int_{0}^{3} - e^{- 2 y} + 1 d y

Frequently Asked Questions (FAQ)

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