Matematika

Pertanyaan

[LaTeX] \int sin^2 2x cos2x dx=...

1 Jawaban

  • misalkan
    u = sin2x
    du = 2 cos2x  dx
    du/2 = cos2x  dx

    mka bentuk 
    ∫ sin²2x . cos2x  dx
    mnjadi
    (1/2) ∫ u²  du
    = (1/2)(u³/3) + C
    = (1/6)u³ + C
    = (1/6) sin³2x + C

Pertanyaan Lainnya