Matematika

Pertanyaan

Integral persial

o∫π x cos 2x dx

1 Jawaban

  • ∫ x cos 2x dx [π...0]
    = ∫ x . 1/2 dsin 2x
    = 1/2 ∫x dsin 2x
    = 1/2 (x sin 2x - ∫ sin 2x dx)
    = 1/2 (x sin 2x + 1/2 ∫ dcos 2x)
    = 1/2 x sin 2x + 1/4 cos 2x [π...0]
    = (0 + 1/4) - (0 + 1/4)
    = 0

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