What is the integral from 4 to 7 of 28-11x+x^2 ?

The integral from 4 to 7 of 28-11x+x^2 is -9/2

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integral from 4 to 7 of 28-11x+x^2

\int_{4}^{7} 28 - 11 x + x^{2} d x

- \frac{9}{2}

Decimal Notation

- 4.5

Solution steps

\int_{4}^{7} 28 - 11 x + 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_{4}^{7} 28 d x - \int_{4}^{7} 11 x d x + \int_{4}^{7} x^{2} d x

\int_{4}^{7} 28 d x = 84

\int_{4}^{7} 11 x d x = \frac{363}{2}

\int_{4}^{7} x^{2} d x = 93

= 84 - \frac{363}{2} + 93

Simplify

84 - \frac{363}{2} + 93 : - \frac{9}{2}

= - \frac{9}{2}

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What is the integral from 4 to 7 of 28-11x+x^2 ?
The integral from 4 to 7 of 28-11x+x^2 is -9/2