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∫ ​ cos ( 2 x + π ) sin ( 2 x − π ) dx = ....

  1. 1 fourth cos space 4 x plus C

  2. 1 over 16 cos space 4 x space plus C

  3. negative 1 over 16 cos space 6 x plus C

  4. negative 1 over 8 cos space 4 x space plus C

  5. negative 1 fourth cos space 4 x plus C

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

integral subscript blank cos space open parentheses 2 x plus straight pi close parentheses space sin space open parentheses 2 x minus straight pi close parentheses space d x equals space 1 half integral subscript blank sin space open parentheses 2 x plus straight pi plus 2 straight x minus straight pi close parentheses minus space sin space open parentheses 2 x plus straight pi minus open parentheses 2 straight x minus straight pi close parentheses close parentheses space 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 space space space space space space space equals 1 half integral subscript blank sin space left parenthesis 4 x right parenthesis minus space sin space open parentheses 2 straight pi close parentheses d x space equals 1 half integral subscript blank sin space left parenthesis 4 x right parenthesis minus 0 space 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 space space space space space space space equals 1 half open parentheses negative 1 fourth cos space 4 x close parentheses plus C space equals negative 1 over 8 cos space 4 x space plus space C

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