integral mat (yang b itu x^5)

Integral Substitusi Fungsi Trigonometri.

Jawaban soal B

∫ sin (1/x) / x² dx
u = 1 / x = x⁻¹
du / dx = -x⁻² = -1 / x²
dx = -x² du
= ∫ sin u du
= cos u + C
= cos (1/x) + C

Jawaban soal C
∫ sin⁵ x cos x dx
u = sin x
du / dx = cos x
= ∫ u⁵ cos x du / cos x
= 1/6 u⁶ + C
= 1/6 sin⁶ x + C