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Hasil dari ∫ 3 x ​ 2 x ​ ​ ( sin 3 x cos 5 x ) d x = ...

Hasil dari  = ...

  1. begin mathsize 12px style negative 3 over 32 end style

  2. begin mathsize 12px style negative 4 over 32 end style

  3. begin mathsize 12px style negative 6 over 32 end style

  4. begin mathsize 12px style negative 7 over 32 end style

  5. begin mathsize 12px style negative 10 over 32 end style

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Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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Jika Maka:

Jika begin mathsize 12px style sin alpha cos beta equals 1 half sin open parentheses alpha plus beta close parentheses plus sin left parenthesis alpha minus beta right parenthesis end stylebegin mathsize 12px style sin 3 x cos 5 x equals 1 half open parentheses sin 8 x plus sin left parenthesis negative 2 x right parenthesis close parentheses equals 1 half open parentheses sin 8 x minus sin 2 x close parentheses integral subscript begin inline style straight pi over 3 end style end subscript superscript begin inline style straight pi over 3 end style end superscript open parentheses sin 3 x cos 5 x close parentheses d x equals integral subscript begin inline style straight pi over 3 end style end subscript superscript begin inline style straight pi over 2 end style end superscript 1 half open parentheses sin 8 x minus sin 2 x close parentheses d x equals 1 half open square brackets negative 1 over 8 cos 8 x minus open parentheses negative 1 half cos 2 x close parentheses close square brackets blank with begin inline style straight pi over 3 end style below and begin inline style straight pi over 2 end style on top equals 1 half open square brackets negative 1 over 8 cos 8 x plus 1 half cos 2 x close square brackets blank with begin inline style straight pi over 3 end style below and begin inline style straight pi over 2 end style on top equals 1 half open square brackets open parentheses negative 1 over 8 cos 8 x plus 1 half cos 2 x close parentheses minus open parentheses negative 1 over 8 cos 8 x plus 1 half cos 2 x close parentheses close square brackets equals 1 half open square brackets table row cell open parentheses negative 1 over 8 cos 8 open parentheses straight pi over 2 close parentheses plus 1 half c o s 2 open parentheses straight pi over 2 close parentheses close parentheses end cell row cell negative open parentheses negative 1 over 8 cos 8 open parentheses straight pi over 3 close parentheses plus 1 half c o s 2 open parentheses straight pi over 3 close parentheses close parentheses end cell end table close square brackets equals 1 half open square brackets open parentheses negative 1 over 8 open parentheses 1 close parentheses plus 1 half open parentheses negative 1 close parentheses close parentheses minus open parentheses negative 1 over 8 open parentheses negative 1 half close parentheses plus 1 half open parentheses negative 1 half close parentheses close parentheses close square brackets equals 1 half open square brackets open parentheses negative 1 over 8 minus 1 half close parentheses minus open parentheses 1 over 16 minus 1 fourth close parentheses close square brackets equals 1 half open square brackets open parentheses negative 5 over 8 close parentheses minus open parentheses negative 3 over 16 close parentheses close square brackets equals 1 half open square brackets negative 5 over 8 plus 3 over 16 close square brackets equals 1 half open square brackets negative 7 over 16 close square brackets equals negative 7 over 32 end style

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