Matematika

Pertanyaan

integral (1- cos x) sin x dx batas atas π/2 batas bawah 0

1 Jawaban

  • ∫(1 - cos x) sin x dx [π/2 ... 0]
    = - ∫(1 - cos x) dcos x
    = - ∫dcos x + ∫cos x dcos x
    = -cos x + 1/2 cos² x [π/2 ... 0]
    = (-cos π/2 + 1/2 cos² π/2) - (-cos 0 + 1/2 cos² 0)
    = 0 - (-1 + 1/2)
    = -(-1/2)
    = 1/2

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