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人気のある微分積分 >

integral from t to 3t of ((sin(x))/(3x))

解

\int_{t}^{3 t} (\frac{sin ( x )}{3 x}) d x

解

\frac{1}{3} (Si (3 t) - Si (t))

解答ステップ

\int_{t}^{3 t} \frac{sin ( x )}{3 x} d x

定数を除く:

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

= \frac{1}{3} \cdot \int_{t}^{3 t} \frac{sin ( x )}{x} d x

非初等積分を使用する:

\int \frac{sin ( x )}{x} d x = Si (x)

= \frac{1}{3} [Si (x)]_{t}^{3 t}

限度を計算する:

Si (3 t) - Si (t)

= \frac{1}{3} (Si (3 t) - Si (t))

人気の例

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