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人気のある微分積分 >

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

解

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

解

3

解答ステップ

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

絶対数を排除する

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

\int_{0}^{π} sin (x) d x = 2

\int_{π}^{\frac{3 π}{2}} - sin (x) d x = 1

= 2 + 1

簡素化

= 3

グラフ

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