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Pertanyaan

Nilai ∫ 0 2 π ​ ​ cos 2 x d x = ....

Nilai

  1. straight pi

  2. fraction numerator 3 straight pi over denominator 2 end fraction

  3. straight pi over 2

  4. fraction numerator 3 straight pi over denominator 4 end fraction

  5. straight pi over 4

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Pembahasan

integral subscript 0 superscript pi over 2 end superscript cos squared invisible function application x d x equals integral subscript 0 superscript pi over 2 end superscript open parentheses 1 half plus 1 half cos invisible function application 2 x close parentheses d x  space space space space space space space space space space space space space space space space space space space space space space space space space equals open vertical bar 1 half x plus 1 fourth sin invisible function application 2 x close vertical bar subscript 0 superscript pi over 2 end superscript  space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses 1 half open parentheses pi over 2 close parentheses plus 1 fourth sin invisible function application 2 open parentheses pi over 2 close parentheses close parentheses minus open parentheses 1 half open parentheses 0 close parentheses plus 1 fourth sin invisible function application 2 open parentheses 0 close parentheses close parentheses  space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses pi over 4 plus 1 fourth open parentheses 0 close parentheses close parentheses minus open parentheses 0 plus 0 close parentheses  space space space space space space space space space space space space space space space space space space space space space space space space space equals pi over 4

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nilai k antara o dan π yang membuat ∫ 0 k ​ sin 2 x cos x d x maksimum adalah...

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