integral from 4.9 to 7.2 of 12x^2-6x+4

解

\int_{4.9}^{7.2} 12 x^{2} - 6 x + 4 d x

948.106

解答ステップ

\int_{4.9}^{7.2} 12 x^{2} - 6 x + 4 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_{4.9}^{7.2} 12 x^{2} d x - \int_{4.9}^{7.2} 6 x d x + \int_{4.9}^{7.2} 4 d x

\int_{4.9}^{7.2} 12 x^{2} d x = 1022.396

\int_{4.9}^{7.2} 6 x d x = 83.49

\int_{4.9}^{7.2} 4 d x = 9.2

= 1022.396 - 83.49 + 9.2

簡素化

= 948.106