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− 4 ∫ cos x . sin 3 x . cos 3 x d x = ....

  1. negative 1 over 14 cos space x minus 1 fifth cos space 5 x plus C

  2. negative 1 over 14 cos space 7 x minus 1 fifth cos space 5 x plus C

  3. negative fraction numerator 1 over denominator 7 space end fraction cos space 7 x minus 1 fifth cos space 5 x plus C

  4. 1 over 7 cos space 7 x plus 1 fifth cos space 5 x plus C

  5. 1 over 7 cos space x plus 1 fifth cos space 5 x plus C

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

I n g a t space r u m u s colon 2 space sin space A. cos space A equals sin space 2 A minus 4 integral cos x. sin space 3 x space cos space 3 x space d x equals negative 2 integral cos x.2 space sin space 3 x. cos 3 x space d x equals negative 2 integral cos x. sin space 6 x space d x equals negative integral 2 space cos x. sin space 6 x space d x

Ingat space rumus colon 2 cos space A space sin space B equals sin left parenthesis A plus B right parenthesis minus sin left parenthesis A minus B right parenthesis equals negative integral sin left parenthesis x plus 6 x right parenthesis minus sin left parenthesis x minus 6 x right parenthesis d x equals negative integral sin 7 x minus sin left parenthesis negative 5 x right parenthesis d x left parenthesis i n g a t space sin left parenthesis negative A right parenthesis equals negative sin left parenthesis A right parenthesis right parenthesis equals negative integral sin left parenthesis 7 x right parenthesis plus sin left parenthesis 5 x right parenthesis d x equals negative open square brackets negative 1 over 7 cos space 7 x minus 1 fifth cos space 5 x close square brackets plus C equals 1 over 7 cos space 7 x plus 1 fifth cos space 5 x plus C

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