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人気のある微分積分 >

integral of cos(x)*sin^4(x)

解

\int cos (x) \cdot sin^{4} (x) d x

解

\frac{sin ^{5} ( x )}{5} + C

解答ステップ

\int cos (x) sin^{4} (x) d x

u置換積分法を適用する

= \int u^{4} d u

べき乗則を適用する

= \frac{u ^{5}}{5}

代用を戻す

u = sin (x)

= \frac{sin ^{5} ( x )}{5}

定数を解答に追加する

= \frac{sin ^{5} ( x )}{5} + C

グラフ

人気の例

integral of ((x-1))/(x^2-x+1)

\int \frac{( x - 1 )}{x ^{2} - x + 1} d x

limit as x approaches-infinity of e^x-1

x \to - \infty lim (e^{x} - 1)

limit as x approaches pi/4 of (sec^2(x)-2tan(x))/(1+cos(4x))

x \to \frac{π}{4} lim (\frac{sec ^{2} ( x ) - 2 tan ( x )}{1 + cos ( 4 x )})

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