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Hasil dari begin mathsize 14px style integral sin invisible function application open parentheses 1 half x minus pi close parentheses cos invisible function application open parentheses 1 half x minus pi close parentheses d x equals end style....

  1. begin mathsize 14px style 2 cos invisible function application open parentheses x minus 2 pi close parentheses plus C end style 

  2. begin mathsize 14px style 1 half cos invisible function application open parentheses x minus 2 pi close parentheses plus C end style 

  3. begin mathsize 14px style negative 1 half cos invisible function application open parentheses x minus 2 pi close parentheses plus C end style 

  4. begin mathsize 14px style 1 half sin invisible function application open parentheses x minus 2 pi close parentheses plus C end style 

  5. begin mathsize 14px style negative 1 half sin invisible function application open parentheses x minus 2 pi close parentheses plus C end style 

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

Ingat kembali rumus sudut rangkap berikut ini. sin⁡ 2A = 2 sin⁡A cos⁡A Misalkan: Maka, Maka integral di atas menjadi,

Ingat kembali rumus sudut rangkap berikut ini.
sin⁡ 2A = 2 sin⁡A cos⁡A

Misalkan:

begin mathsize 14px style A equals open parentheses 1 half x minus pi close parentheses end style

Maka,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application 2 open parentheses 1 half x minus pi close parentheses end cell equals cell 2 sin invisible function application open parentheses 1 half x minus pi close parentheses cos invisible function application open parentheses 1 half x minus pi close parentheses end cell row cell 1 half times sin invisible function application 2 open parentheses 1 half x minus pi close parentheses end cell equals cell sin invisible function application open parentheses 1 half x minus pi close parentheses cos invisible function application open parentheses 1 half x minus pi close parentheses end cell end table end style

Maka integral di atas menjadi,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral sin invisible function application open parentheses 1 half x minus pi close parentheses cos invisible function application open parentheses 1 half x minus pi close parentheses d x end cell equals cell integral 1 half sin invisible function application 2 open parentheses 1 half x minus pi close parentheses d x end cell row blank equals cell 1 half integral sin invisible function application open parentheses x minus 2 pi close parentheses d x end cell row blank equals cell negative 1 half cos invisible function application open parentheses x minus 2 pi close parentheses plus C end cell end table end style 

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