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人気のある微分積分 >

integral from pi to pi/2 of cos(x)

解

\int_{π}^{\frac{π}{2}} cos (x) d x

解

1

解答ステップ

\int_{π}^{\frac{π}{2}} cos (x) d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{\frac{π}{2}}^{π} cos (x) d x

共通積分を使用する:

\int cos (x) d x = sin (x)

= - [sin (x)]_{\frac{π}{2}}^{π}

限度を計算する:

- 1

= - (- 1)

簡素化

= 1

グラフ

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