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Pertanyaan

Nilai ∫ 0 2 x ​ ​ ( 2 sin 2 x cos x ) d x = ....

Nilai

  1. 2 over 3

  2. fraction numerator 2 over denominator square root of 3 end fraction

  3. 1 third

  4. 1 plus square root of 3

  5. square root of 3 minus 1

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A. Acfreelance

Master Teacher

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Pembahasan

integral subscript 0 superscript pi over 2 end superscript 2 sin squared x cos x space d x space equals integral subscript 0 superscript pi over 2 end superscript 2 sin squared x space d left parenthesis sin x right parenthesis space space left square bracket h a l space i n i space d i k a r e n a k a n space d left parenthesis sin x space right parenthesis equals cos x space d x right square bracket  equals open square brackets 2 over 3 sin cubed x close square brackets table row cell pi over 2 end cell row 0 end table  equals open parentheses 2 over 3 sin cubed pi over 2 close parentheses minus open parentheses 2 over 3 sin cubed 0 close parentheses  equals 2 over 3 open parentheses 1 close parentheses cubed minus 2 over 3 open parentheses 0 close parentheses cubed  equals 2 over 3

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