integral from 0 to 4 of (3t^4+3t+2)

解

\int_{0}^{4} (3 t^{4} + 3 t + 2) d t

\frac{3232}{5}

十進法表記

646.4

解答ステップ

\int_{0}^{4} 3 t^{4} + 3 t + 2 d t

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_{0}^{4} 3 t^{4} d t + \int_{0}^{4} 3 t d t + \int_{0}^{4} 2 d t

\int_{0}^{4} 3 t^{4} d t = \frac{3072}{5}

\int_{0}^{4} 3 t d t = 24

\int_{0}^{4} 2 d t = 8

= \frac{3072}{5} + 24 + 8

簡素化

\frac{3072}{5} + 24 + 8 : \frac{3232}{5}

= \frac{3232}{5}