integral from-2 to 2 of (3x^4-2x+1)

解

\int_{- 2}^{2} (3 x^{4} - 2 x + 1) d x

\frac{212}{5}

十進法表記

42.4

解答ステップ

\int_{- 2}^{2} 3 x^{4} - 2 x + 1 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_{- 2}^{2} 3 x^{4} d x - \int_{- 2}^{2} 2 x d x + \int_{- 2}^{2} 1 d x

\int_{- 2}^{2} 3 x^{4} d x = \frac{192}{5}

\int_{- 2}^{2} 2 x d x = 0

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

= \frac{192}{5} - 0 + 4

簡素化

\frac{192}{5} - 0 + 4 : \frac{212}{5}

= \frac{212}{5}