What is the integral from-0.5 to 7.6 of x^2+2x+1 ?

The integral from-0.5 to 7.6 of x^2+2x+1 is 211.977

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integral from-0.5 to 7.6 of x^2+2x+1

\int_{- 0.5}^{7.6} x^{2} + 2 x + 1 d x

211.977

Solution steps

\int_{- 0.5}^{7.6} x^{2} + 2 x + 1 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_{- 0.5}^{7.6} x^{2} d x + \int_{- 0.5}^{7.6} 2 x d x + \int_{- 0.5}^{7.6} 1 d x

\int_{- 0.5}^{7.6} x^{2} d x = 146.367

\int_{- 0.5}^{7.6} 2 x d x = 57.51

\int_{- 0.5}^{7.6} 1 d x = 8.1

= 146.367 + 57.51 + 8.1

Simplify

= 211.977

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What is the integral from-0.5 to 7.6 of x^2+2x+1 ?
The integral from-0.5 to 7.6 of x^2+2x+1 is 211.977