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Popular >

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

Solution

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

Solution

6

Solution steps

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

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

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

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

= 3 - 3 + 6

Simplify

= 6

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\int_{0}^{4} \frac{1}{8} x d x

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\int_{3}^{7} (∣ x - 4 ∣ - ∣ x - 5 ∣) d x

Frequently Asked Questions (FAQ)

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