Tính \(\frac{\int dx}{\sqrt{1-x}}\) kết quả:
(A). \(\frac{C}{ \sqrt{1-x}}\) (B) \(C\sqrt{1-x}\)
(C). \(-2\sqrt{1-x}+C\) (D) \(\frac{2}{\sqrt{1-x}}+C\)
Ta có:
\(\int \frac{dx}{\sqrt{1-x}}=-\int \frac{d(1-x)}{\sqrt{1-x}}\)
\(= -\int (1-x)^{-\frac{1}{2}}d(1-x)=-2\sqrt{1-x}+C.\)
Nên chọn phương án (C).
-- Mod Toán 12
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