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

The integral from-2 to 5 of x^2+2x+4 is 280/3

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

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

\frac{280}{3}

Decimal Notation

93.33333 \dots

Solution steps

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

\int_{- 2}^{5} x^{2} d x = \frac{133}{3}

\int_{- 2}^{5} 2 x d x = 21

\int_{- 2}^{5} 4 d x = 28

= \frac{133}{3} + 21 + 28

Simplify

\frac{133}{3} + 21 + 28 : \frac{280}{3}

= \frac{280}{3}

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What is the integral from-2 to 5 of x^2+2x+4 ?
The integral from-2 to 5 of x^2+2x+4 is 280/3