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Hasil dari begin mathsize 14px style integral open parentheses fraction numerator sin invisible function application x minus cos invisible function application x over denominator sin invisible function application x end fraction close parentheses d x equals end style ...

  1. begin mathsize 14px style x minus ln invisible function application open vertical bar sin invisible function application x close vertical bar plus C end style

  2. begin mathsize 14px style x plus ln invisible function application open vertical bar sin invisible function application x close vertical bar plus C end style

  3. begin mathsize 14px style 2 x minus ln invisible function application open vertical bar sin invisible function application x close vertical bar plus C end style

  4. begin mathsize 14px style 2 x plus ln invisible function application open vertical bar sin invisible function application x close vertical bar plus C end style

  5. begin mathsize 14px style 1 half x plus ln invisible function application open vertical bar sin invisible function application x close vertical bar plus C end style

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Ingat kembali bahwa, Maka,

Ingat kembali bahwa,

begin mathsize 14px style cot invisible function application x equals fraction numerator cos invisible function application x over denominator sin invisible function application x end fraction end style 

Maka,

integral open parentheses fraction numerator sin invisible function application x minus cos invisible function application x over denominator sin invisible function application x end fraction close parentheses d x equals integral open parentheses fraction numerator sin invisible function application x over denominator sin invisible function application x end fraction minus fraction numerator cos invisible function application x over denominator sin invisible function application x end fraction close parentheses d x space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals integral open parentheses fraction numerator sin invisible function application x over denominator sin invisible function application x end fraction close parentheses d x minus integral open parentheses fraction numerator cos invisible function application x over denominator sin invisible function application x end fraction close parentheses d x space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals integral 1 d x minus integral cot invisible function application x d x space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals x minus ln invisible function application open vertical bar sin invisible function application x close vertical bar plus C  

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