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Nilai dari begin mathsize 14px style integral from 0 to pi over 2 of open parentheses sin invisible function application space 2 x space cos space invisible function application 2 x close parentheses space d x end style adalah ....

  1. begin mathsize 14px style negative 1 half end style

  2. begin mathsize 14px style negative 1 fourth end style

  3. 0

  4. begin mathsize 14px style 1 fourth end style

  5. begin mathsize 14px style 1 half end style

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

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

7

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