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人気のある微分積分 >

integral from 0 to pi/6 of (cos(x))/x

解

\int_{0}^{\frac{π}{6}} \frac{cos ( x )}{x} d x

解

Ci (\frac{π}{6})

解答ステップ

\int_{0}^{\frac{π}{6}} \frac{cos ( x )}{x} d x

非初等積分を使用する:

\int \frac{cos ( x )}{x} d x = Ci (x)

= [Ci (x)]_{0}^{\frac{π}{6}}

限度を計算する:

Ci (\frac{π}{6})

= Ci (\frac{π}{6})

人気の例

integral from-2 to infinity of e^{-0.5x}

\int_{- 2}^{\infty} e^{- 0.5 x} d x

integral from 1 to e^5 of (ln(x))/x

\int_{1}^{e^{5}} \frac{ln ( x )}{x} d x

integral from-5 to 5 of (6-|x|)

\int_{- 5}^{5} (6 - ∣ x ∣) d x

integral from 0 to pi/2 of (x-1)cos(x)

\int_{0}^{\frac{π}{2}} (x - 1) cos (x) d x

integral from pi/3 to x of sin^2(t)

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