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Popular >

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

Solution

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

Solution

- 6

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

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

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

= - (3 + 3)

Simplify

= - 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to-1 of x^2+1 ?
The integral from 2 to-1 of x^2+1 is -6