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Popular >

integral from-2 to 1 of-x^2+4x+5

Solution

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

Solution

6

Solution steps

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

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

\int_{- 2}^{1} 4 x d x = - 6

\int_{- 2}^{1} 5 d x = 15

= - 3 - 6 + 15

Simplify

= 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of-x^2+4x+5 ?
The integral from-2 to 1 of-x^2+4x+5 is 6