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Nilai integral subscript 0 superscript pi over 4 end superscript cos squared x d x equals....

  1. pi over 8 plus 1 fourth

  2. pi over 8 plus 1 half

  3. pi over 8 minus 1 fourth

  4. pi over 4 plus fraction numerator 1 over denominator square root of 2 end fraction

  5. straight pi over 4 minus fraction numerator 1 over denominator square root of 2 end fraction

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

Ingat space rumus  cos 2 straight x equals 2 cos squared straight x minus 1 rightwards double arrow cos squared straight x equals 1 half open parentheses cos 2 straight x plus 1 close parentheses  Perhatikan space bentuk space pada space soal  integral subscript 0 superscript straight pi over 4 end superscript cos squared xdx  Bentuk space tersebut space dapat space diubah space menjadi  integral subscript 0 superscript straight pi over 4 end superscript 1 half open parentheses cos 2 straight x plus 1 close parentheses dx  equals open square brackets 1 fourth sin 2 straight x plus 1 half straight x close square brackets subscript 0 superscript straight pi over 4 end superscript  equals 1 fourth sin straight pi over 2 plus 1 over 8 straight pi minus 0  equals 1 fourth plus 1 over 8 straight pi

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