integral from-1 to 2 of 4x^5-x^2-7x

解

\int_{- 1}^{2} 4 x^{5} - x^{2} - 7 x d x

\frac{57}{2}

十進法表記

28.5

解答ステップ

\int_{- 1}^{2} 4 x^{5} - x^{2} - 7 x 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_{- 1}^{2} 4 x^{5} d x - \int_{- 1}^{2} x^{2} d x - \int_{- 1}^{2} 7 x d x

\int_{- 1}^{2} 4 x^{5} d x = 42

\int_{- 1}^{2} x^{2} d x = 3

\int_{- 1}^{2} 7 x d x = \frac{21}{2}

= 42 - 3 - \frac{21}{2}

簡素化

42 - 3 - \frac{21}{2} : \frac{57}{2}

= \frac{57}{2}