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begin mathsize 12px style integral 4 space sin squared space x space cos space 2 x space d x equals... end style

  1. begin mathsize 12px style sin space 2 x minus 1 over 8 sin space 4 x plus x plus C end style

  2. begin mathsize 12px style sin space 2 x plus 1 half sin space 4 x minus x plus C end style

  3. begin mathsize 12px style sin space 2 x minus 1 fourth sin space 4 x minus x plus C end style

  4. begin mathsize 12px style negative sin space 2 x plus 1 over 8 sin space 4 x plus x plus C end style

  5. begin mathsize 12px style sin space 2 x minus 1 half sin space 4 x minus x plus C end style

A. Acfreelance

Master Teacher

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Ingat!

begin mathsize 12px style cos space 2 x equals 2 space cos squared space x minus 1  2 space sin space A space cos space A equals sin space 2 A  sin squared space x equals fraction numerator open parentheses 1 minus cos space 2 x close parentheses over denominator 2 end fraction  sin squared space 2 x equals fraction numerator open parentheses 1 minus cos space 4 x close parentheses over denominator 2 end fraction end style

maka:

begin mathsize 12px style integral 4 space sin squared space x space cos space 2 x space d x  equals integral 4 space sin squared space x space open parentheses 2 space cos squared minus 1 close parentheses space d x  equals integral open parentheses 8 space sin squared space x. space cos squared space x close parentheses d x minus integral space open parentheses 4 space sin squared space x close parentheses space d x  equals integral 2 open parentheses 2 space sin space x. space cos space x close parentheses squared space d x minus integral space open parentheses 4 space sin squared space x close parentheses space d x  equals integral 2 open parentheses sin space 2 x close parentheses squared space d x minus integral space open parentheses 4 space sin squared space x close parentheses space d x  equals integral 2 open parentheses sin squared space 2 x close parentheses space d x minus integral space open parentheses 4 space sin squared space x close parentheses space d x  equals integral 2 open parentheses fraction numerator 1 minus cos space 4 x over denominator 2 end fraction close parentheses space d x minus integral space 4 open parentheses fraction numerator 1 minus cos space 2 x over denominator 2 end fraction close parentheses space d x  equals integral open parentheses 1 minus cos space 4 x close parentheses space d x minus integral space open parentheses 2 minus 2 space cos space 2 x close parentheses space d x  equals x minus 1 fourth sin space 4 x minus 2 x plus sin space 2 x plus C  equals sin space 2 x minus 1 fourth sin space 4 x minus x plus C end style

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