integral of 0.06x-0.6-(7700)/(x^2)

解

\int 0.06 x - 0.6 - \frac{7700}{x ^{2}} d x

0.03 x^{2} - 0.6 x + \frac{7700}{x} + C

解答ステップ

\int 0.06 x - 0.6 - \frac{7700}{x ^{2}} 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 0.06 x d x - \int 0.6 d x - \int \frac{7700}{x ^{2}} d x

\int 0.06 x d x = 0.03 x^{2}

\int 0.6 d x = 0.6 x

\int \frac{7700}{x ^{2}} d x = - \frac{7700}{x}

= 0.03 x^{2} - 0.6 x - (- \frac{7700}{x})

簡素化

= 0.03 x^{2} - 0.6 x + \frac{7700}{x}

定数を解答に追加する

= 0.03 x^{2} - 0.6 x + \frac{7700}{x} + C