integral of (x-2pi)

解答

\int (x - 2 π) d x

\frac{x ^{2}}{2} - 2 π x + C

求解步骤

\int x - 2 π 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 x d x - \int 2 π d x

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

\int 2 π d x = 2 π x

= \frac{x ^{2}}{2} - 2 π x

解答补常数

= \frac{x ^{2}}{2} - 2 π x + C

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