integral of 7-2x

解答

\int 7 - 2 x d x

7 x - x^{2} + C

求解步骤

\int 7 - 2 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 7 d x - \int 2 x d x

\int 7 d x = 7 x

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

= 7 x - x^{2}

解答补常数

= 7 x - x^{2} + C

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