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人気のある微分積分 >

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

解

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

解

sin (x^{3}) - 1

解答ステップ

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

共通積分を使用する:

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

= [sin (t)]_{\frac{π}{2}}^{x^{3}}

限度を計算する:

sin (x^{3}) - 1

= sin (x^{3}) - 1

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