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

  1. begin mathsize 14px style x plus C end style

  2. begin mathsize 14px style 2 x plus C end style

  3. begin mathsize 14px style 1 half sin invisible function application 2 x plus 1 plus C end style

  4. begin mathsize 14px style 2 cos invisible function application italic x and C end style

  5. begin mathsize 14px style tan invisible function application x 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. Dan ingat pula salah satu sifat integral berikut ini. Maka,

Ingat kembali rumus sudut rangkap berikut ini.

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

 

Dan ingat pula salah satu sifat integral berikut ini.

begin mathsize 14px style integral cos invisible function application open parentheses a x plus b close parentheses d x equals 1 over a sin invisible function application open parentheses a x plus b close parentheses end style 

 

Maka,

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

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