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Hasil begin mathsize 14px style integral from 0 to pi over 6 of open parentheses sin invisible function application space 4 x space cos invisible function application space 2 x close parentheses space d x end style

  1. begin mathsize 14px style 4 over 3 end style

  2. begin mathsize 14px style 2 over 3 end style

  3. begin mathsize 14px style 1 third end style

  4. begin mathsize 14px style 7 over 24 end style

  5. begin mathsize 14px style negative 1 third end style

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style integral from 0 to pi over 6 of open parentheses sin invisible function application space 4 x space cos invisible function application space 2 x close parentheses space d x equals integral from 0 to pi over 6 of 1 half open parentheses sin space invisible function application open parentheses 4 x plus 2 x close parentheses plus sin space invisible function application open parentheses 4 x minus 2 x close parentheses close parentheses space d x  equals 1 half integral from 0 to pi over 6 of open parentheses sin invisible function application space 6 x plus sin space invisible function application 2 x close parentheses space d x  equals 1 half open square brackets negative 1 over 6 cos space invisible function application 6 x minus 1 half cos invisible function application 2 x close square brackets subscript 0 superscript begin inline style pi over 6 end style end superscript  equals negative 1 half open square brackets 1 over 6 cos invisible function application space 6 x plus 1 half cos space invisible function application 2 x close square brackets subscript 0 superscript begin inline style pi over 6 end style end superscript  equals negative 1 half open curly brackets open parentheses open parentheses 1 over 6 cos invisible function application space 6 open parentheses pi over 6 close parentheses close parentheses plus open parentheses 1 half cos space invisible function application 2 open parentheses pi over 6 close parentheses close parentheses close parentheses minus open parentheses open parentheses 1 over 6 cos space invisible function application 6 open parentheses 0 degree close parentheses close parentheses plus open parentheses 1 half cos space invisible function application 2 open parentheses 0 degree close parentheses close parentheses close parentheses close curly brackets  equals negative 1 half open curly brackets open parentheses 1 over 6 cos invisible function application space pi close parentheses plus open parentheses 1 half cos space invisible function application pi over 3 close parentheses minus open parentheses 1 over 6 cos invisible function application space 0 degree close parentheses plus open parentheses 1 half cos space invisible function application 0 degree close parentheses close curly brackets  equals negative 1 half open curly brackets open parentheses 1 over 6 close parentheses open parentheses negative 1 close parentheses plus open parentheses 1 half close parentheses open parentheses 1 half close parentheses minus open parentheses 1 over 6 close parentheses open parentheses 1 close parentheses plus open parentheses 1 half close parentheses open parentheses 1 close parentheses close curly brackets  equals negative 1 half open curly brackets open parentheses negative 1 over 6 plus 1 fourth close parentheses minus open parentheses 1 over 6 plus 1 half close parentheses close curly brackets  equals negative 1 half open curly brackets open parentheses 1 over 12 close parentheses minus open parentheses 2 over 3 close parentheses close curly brackets  equals negative 1 half open curly brackets negative 7 over 12 close curly brackets  equals 7 over 24 end style

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