∫ 2x+1 / x2+x+1 = ......?
Matematika
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Pertanyaan
∫ 2x+1 / x2+x+1 = ......?
1 Jawaban
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1. Jawaban arsetpopeye
Int (2x + 1)/(x^2 + x + 1) dx
Misal
u = x^2 + x + 1
du = (2x + 1) dx
du/(2x + 1) = dx
Int (2x + 1)/(x^2 + x + 1) dx
= Int (2x + 1)/u . du/(2x + 1)
= Int (1/u) du
= In |u| + C
= In |x^2 + x + 1| + C