Matematika

Pertanyaan

hasil dari integral cos 2x ✓sin 2x dx =

1 Jawaban

  • dsin 2x = 2 cos 2x dx
    cos 2x dx = 1/2 dsin 2x

    ∫ cos 2x √(sin 2x) dx
    = ∫ (sin 2x)^(1/2) . (1/2) dsin 2x
    = (1/2) . (1/(1/2 + 1)) . (sin 2x)^(1/2 + 1) + C
    = (1/2)(2/3)(sin 2x)^(3/2) + C
    = (1/3)(sin 2x)(√sin 2x) + C

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