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∫2 cos x sin(1−2x)dx = ...

Pertanyaan

begin mathsize 12px style integral 2 space cos space x space sin open parentheses 1 minus 2 x close parentheses d x space equals space... end style

  1. undefined

  2. begin mathsize 12px style cos open parentheses x minus 1 close parentheses minus 1 third cos open parentheses 3 x minus 1 close parentheses plus C end style

  3. begin mathsize 12px style negative sin open parentheses x minus 1 close parentheses plus 1 third sin open parentheses 3 x minus 1 close parentheses plus C end style

  4. begin mathsize 12px style negative sin open parentheses x minus 1 close parentheses minus 1 third sin open parentheses 3 x minus 1 close parentheses plus C end style

  5. begin mathsize 12px style sin open parentheses x minus 1 close parentheses plus 1 third sin open parentheses 3 x minus 1 close parentheses plus C end style

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Sifat-sifat Trigonometri berikut:

begin mathsize 12px style 2 space cos space alpha space sin space beta equals sin open parentheses alpha plus beta close parentheses minus sin open parentheses alpha minus beta close parentheses end style

maka:

begin mathsize 12px style integral 2 space cos space x space sin open parentheses 1 minus 2 x close parentheses d x  equals integral sin open parentheses x plus 1 minus 2 x close parentheses minus sin open parentheses x minus open parentheses 1 minus 2 x close parentheses close parentheses d x  equals integral sin open parentheses negative x plus 1 close parentheses minus sin open parentheses 3 x minus 1 close parentheses d x  equals negative cos open parentheses negative x plus 1 close parentheses plus 1 third cos open parentheses 3 x minus 1 close parentheses plus C  equals cos open parentheses x minus 1 close parentheses plus 1 third cos open parentheses 3 x minus 1 close parentheses plus C end style

21

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