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人気のある微分積分 >

integral of 2cos(x)(2csc(x))/(cot(x))

解

\int 2 cos (x) \frac{2 csc ( x )}{cot ( x )} d x

解

4 x + C

解答ステップ

\int 2 cos (x) \frac{2 csc ( x )}{cot ( x )} d x

定数を除く:

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

= 2 \cdot 2 \cdot \int cos (x) \frac{csc ( x )}{cot ( x )} d x

簡素化

= 4 \cdot \int cos (x) \frac{csc ( x )}{cot ( x )} d x

cos (x) \frac{csc ( x )}{cot ( x )} = 1

= 4 \cdot \int 1 d x

定数の積分:

\int a d x = a x

= 4 \cdot 1 \cdot x

簡素化

= 4 x

定数を解答に追加する

= 4 x + C

グラフ

人気の例

integral of (6x-9)sqrt(x^2-3x+1)

\int (6 x - 9) x^{2} - 3 x + 1 d x

integral of (3/t-2/(t^2))

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