integral of 3+sin(x)

解答

\int 3 + sin (x) d x

3 x - cos (x) + C

求解步骤

\int 3 + sin (x) d x

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 d x + \int sin (x) d x

\int 3 d x = 3 x

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

= 3 x - cos (x)

解答补常数

= 3 x - cos (x) + C

\int sec (x) (5 sec (x) + 9 tan (x)) d x

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