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人気のある微分積分 >

integral from 0 to (3pi)/2 of 2+2sin(x)

解

\int_{0}^{\frac{3 π}{2}} 2 + 2 sin (x) d x

解

3 π + 2

+1

十進法表記

11.42477 \dots

解答ステップ

\int_{0}^{\frac{3 π}{2}} 2 + 2 sin (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}^{\frac{3 π}{2}} 2 d x + \int_{0}^{\frac{3 π}{2}} 2 sin (x) d x

\int_{0}^{\frac{3 π}{2}} 2 d x = 3 π

\int_{0}^{\frac{3 π}{2}} 2 sin (x) d x = 2

= 3 π + 2

グラフ

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