Matematika

Pertanyaan

∫sin 4x cos^-3/4 4x dx

Ket:
^ = pangkat

1 Jawaban

  • Misal : u = cos 4x
    => du/dx = - 4 sin 4x => dx = du/(-4 sin 4x)
    Int (sin 4x . cos^-3/4 4x dx
    = Int (sin 4x . u^-3/4 du/(-4 sin 4x)
    = Int (-1/4 u^-3/4) du
    = (-1/4)/(1/4) u^(1/4) + C
    = -1 u^(1/4) + C
    = - cos^1/4 4x + C

Pertanyaan Lainnya