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

解

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

\frac{357}{10}

十進法表記

35.7

解答ステップ

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

\int_{2}^{3} x^{4} d x = \frac{211}{5}

\int_{2}^{3} 3 x d x = \frac{15}{2}

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

= \frac{211}{5} - \frac{15}{2} + 1

簡素化

\frac{211}{5} - \frac{15}{2} + 1 : \frac{357}{10}

= \frac{357}{10}