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Hasil dari begin mathsize 14px style integral 2 minus 4 sin squared invisible function application open parentheses 2 x minus 3 close parentheses d x equals end style ...

  1. begin mathsize 14px style 1 half cos invisible function application open parentheses 4 x minus 6 close parentheses plus C end style

  2. begin mathsize 14px style 1 half sin invisible function application open parentheses 4 x minus 6 close parentheses plus C end style

  3. begin mathsize 14px style 2 cos invisible function application open parentheses 4 x minus 6 close parentheses plus C end style

  4. begin mathsize 14px style 2 sin invisible function application open parentheses 4 x minus 6 close parentheses plus C end style

  5. begin mathsize 14px style 4 cos invisible function application open parentheses 4 x minus 6 close parentheses plus C end style

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

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Pembahasan

Ingat kembali rumus sudut rangkap berikut ini. Jika maka diperoleh bentuk seperti dibawah ini. Sehingga integral di atas dapat diubah menjadi

Ingat kembali rumus sudut rangkap berikut ini.

begin mathsize 14px style cos invisible function application 2 A equals 1 minus 2 sin squared invisible function application A end style 

 

Jika begin mathsize 14px style A equals open parentheses 2 x minus 3 close parentheses end style maka diperoleh bentuk seperti dibawah ini.

begin mathsize 14px style cos invisible function application 2 open parentheses 2 x minus 3 close parentheses equals 1 minus 2 sin squared invisible function application open parentheses 2 x minus 3 close parentheses end style 

 

Sehingga integral di atas dapat diubah menjadi

begin mathsize 14px style integral 2 minus 4 sin squared invisible function application open parentheses 2 x minus 3 close parentheses d x equals integral 2 open parentheses 1 minus 2 sin squared invisible function application open parentheses 2 x minus 3 close parentheses 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 space space equals 2 integral open parentheses 1 minus 2 sin squared invisible function application open parentheses 2 x minus 3 close parentheses 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 space space equals 2 integral cos invisible function application 2 open parentheses 2 x minus 3 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 space space equals 2 integral cos invisible function application open parentheses 4 x minus 6 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 space space equals 2 times open parentheses 1 fourth sin invisible function application open parentheses 4 x minus 6 close parentheses close parentheses plus C 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 space space equals 1 half sin invisible function application open parentheses 4 x minus 6 close parentheses plus C end style  

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