tolong dongg ini soal sin sin an gua gangerti
Matematika
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Pertanyaan
tolong dongg ini soal sin sin an gua gangerti
1 Jawaban
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1. Jawaban arsetpopeye
Misal
u = √x
u = x^1/2
du/dx = (1/2) x^-1/2
du/dx = 1/(2x^1/2)
du/dx = 1/(2√x)
dx = 2√x du
∫ (sin √x)/√x dx
= ∫ (sin u)/√x . 2√x du
= ∫ 2 sin u du
= -2 cos u + C
= -2 cos √x + C