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人気のある微分積分 >

integral from 0 to 3pi of 1+cos(x)

解

\int_{0}^{3 π} 1 + cos (x) d x

解

3 π

+1

十進法表記

9.42477 \dots

解答ステップ

\int_{0}^{3 π} 1 + cos (x) 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}^{3 π} 1 d x + \int_{0}^{3 π} cos (x) d x

\int_{0}^{3 π} 1 d x = 3 π

\int_{0}^{3 π} cos (x) d x = 0

= 3 π + 0

簡素化

= 3 π

グラフ

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