MHT CET · Maths · Definite Integration
\(\int_0^1 \log \left(\frac{1}{x}-1\right) \mathrm{d} x=\)
- A \(\frac{1}{2}\)
- B 1
- C 2
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
\(I = \int_0^1 \log \left(\frac{1-x}{x}\right) \mathrm{d} x\) \(I = \int_0^1 \log \left(\frac{1-(1-x)}{1-x}\right) \mathrm{d} x = \int_0^1 \log \left(\frac{x}{1-x}\right) \mathrm{d} x\)
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