integral part 1&2, jelaskan dgn caranya
Matematika
AurelH
Pertanyaan
integral part 1&2, jelaskan dgn caranya
1 Jawaban
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1. Jawaban DB45
Integral Substitusi
34. ∫ x √(x² -5) dx
u = x² - 5
du = 2x dx
x dx = 1/2 du
∫ x√(x² -5) dx = ∫ 1/2 √u du= 1/2 ∫ u^(1/2) du
= 1/2 (2/3) (U)^(3/2) + c
= 1/3 u√u + c
= 1/3 (x² - 5) √(x² -5) +C
.
35. ∫sin³ x . cos x dx =
misl u = sin x
du = cos x dx
∫ sin³ x cos x dx = ∫ (sin x)³ (cos x dx) = ∫ u³ du = 1/4 u⁴ + c
= 1/4 ( sin x)⁴ + c
= 1/4 sin⁴ x + c.Pertanyaan Lainnya