integral of-cos(x)+sin(x)+3

解

\int - cos (x) + sin (x) + 3 d x

- sin (x) - cos (x) + 3 x + C

解答ステップ

\int - cos (x) + sin (x) + 3 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 cos (x) d x + \int sin (x) d x + \int 3 d x

\int cos (x) d x = sin (x)

\int sin (x) d x = - cos (x)

\int 3 d x = 3 x

= - sin (x) - cos (x) + 3 x

定数を解答に追加する

= - sin (x) - cos (x) + 3 x + C