Matematika

Pertanyaan

Harap bantuannya tentang integral soal tertera di gambar
Harap bantuannya tentang integral soal tertera di gambar

1 Jawaban

  • u = sin x => du = cos x dx
    Int (cos x sin^2 x) dx
    = Int (sin x)^2 cos x dx
    = Int u^2 du
    = 1/3 u^3 | batas 0 sampai π/2
    = 1/3 (sin x)^3 | batas 0 sampai π/2
    = 1/3 (sin π/2)^3 - 1/3 (sin 0)^3
    = 1/3 (1)^3 - 1/3 (0)^3
    = 1/3