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Popular >

integral from-2 to 1 of x^2-6x+12

Solution

\int_{- 2}^{1} x^{2} - 6 x + 12 d x

Solution

48

Solution steps

\int_{- 2}^{1} x^{2} - 6 x + 12 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} 6 x d x + \int_{- 2}^{1} 12 d x

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

\int_{- 2}^{1} 6 x d x = - 9

\int_{- 2}^{1} 12 d x = 36

= 3 - (- 9) + 36

Simplify

= 48

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x^2-6x+12 ?
The integral from-2 to 1 of x^2-6x+12 is 48