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人気のある微分積分 >

integral from 0.8 to 1.6 of sin(2x)

解

\int_{0.8}^{1.6} sin (2 x) d x

解

0.48454 \dots

解答ステップ

\int_{0.8}^{1.6} sin (2 x) d x

u置換積分法を適用する

= \int_{1.6}^{3.2} sin (u) \frac{1}{2} d u

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{2} \cdot \int_{1.6}^{3.2} sin (u) d u

共通積分を使用する:

\int sin (u) d u = - cos (u)

= \frac{1}{2} [- cos (u)]_{1.6}^{3.2}

簡素化

= 0.5 [- cos (u)]_{1.6}^{3.2}

限度を計算する:

0.96909 \dots

= 0.5 \cdot 0.96909 \dots

簡素化

= 0.48454 \dots

グラフ

人気の例

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\int_{1}^{a} \frac{1}{y ^{2}} d y

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