integral from 2 to 5 of 1/(x^4)+10x^5

解

\int_{2}^{5} \frac{1}{x ^{4}} + 10 x^{5} d x

\frac{25935039}{1000}

十進法表記

25935.039

解答ステップ

\int_{2}^{5} \frac{1}{x ^{4}} + 10 x^{5} 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}^{5} \frac{1}{x ^{4}} d x + \int_{2}^{5} 10 x^{5} d x

\int_{2}^{5} \frac{1}{x ^{4}} d x = \frac{39}{1000}

\int_{2}^{5} 10 x^{5} d x = 25935

= \frac{39}{1000} + 25935

簡素化

\frac{39}{1000} + 25935 : \frac{25935039}{1000}

= \frac{25935039}{1000}