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

解

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

- \frac{9}{2}

十進法表記

- 4.5

解答ステップ

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

総和規則を適用する:

\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

簡素化

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

= - \frac{9}{2}