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

The integral from-2 to 2 of x^2-6x+5 is 76/3

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integral from-2 to 2 of x^2-6x+5

\int_{- 2}^{2} x^{2} - 6 x + 5 d x

\frac{76}{3}

Solution steps

\int_{- 2}^{2} x^{2} - 6 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}^{2} x^{2} d x - \int_{- 2}^{2} 6 x d x + \int_{- 2}^{2} 5 d x

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

\int_{- 2}^{2} 6 x d x = 0

\int_{- 2}^{2} 5 d x = 20

= \frac{16}{3} - 0 + 20

Simplify

\frac{16}{3} - 0 + 20 : \frac{76}{3}

= \frac{76}{3}

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What is the integral from-2 to 2 of x^2-6x+5 ?
The integral from-2 to 2 of x^2-6x+5 is 76/3