integral from 3 to 8.2 of x^2-10x+50

解

\int_{3}^{8.2} x^{2} - 10 x + 50 d x

143.58933 \dots

解答ステップ

\int_{3}^{8.2} x^{2} - 10 x + 50 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_{3}^{8.2} x^{2} d x - \int_{3}^{8.2} 10 x d x + \int_{3}^{8.2} 50 d x

\int_{3}^{8.2} x^{2} d x = 174.78933 \dots

\int_{3}^{8.2} 10 x d x = 291.2

\int_{3}^{8.2} 50 d x = 260

= 174.78933 \dots - 291.2 + 260

簡素化

= 143.58933 \dots