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Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

Gunakan integral subtitusi :

$u equals sin x open curly brackets table row cell x equals 0 rightwards double arrow u equals sin 0 equals 0 end cell row cell x equals pi over 2 rightwards double arrow u equals sin pi over 2 equals 1 end cell end table close fraction numerator d u over denominator d x end fraction equals cos x d x equals fraction numerator d u over denominator cos x end fraction integral subscript 0 superscript pi over 2 end superscript open parentheses cos x. sin squared x close parentheses d x equals integral subscript 0 superscript 1 open parentheses cos x. u squared close parentheses fraction numerator d u over denominator cos x end fraction equals integral subscript 0 superscript 1 u squared d u equals 1 third u cubed open table row 1 row 0 end table close square brackets equals 1 third$