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Popular Calculus >

integral from-1 to 2 of x^2-4x+3

Solution

\int_{- 1}^{2} x^{2} - 4 x + 3 d x

Solution

6

Solution steps

\int_{- 1}^{2} x^{2} - 4 x + 3 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} 4 x d x + \int_{- 1}^{2} 3 d x

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

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

\int_{- 1}^{2} 3 d x = 9

= 3 - 6 + 9

Simplify

= 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x^2-4x+3 ?
The integral from-1 to 2 of x^2-4x+3 is 6