TS EAMCET · Maths · Indefinite Integration
If \(\int \frac{d x}{x(\log x-2)(\log x-3)}=I+C\), then \(I\) is equal to
- A \(\frac{1}{x} \log \left|\frac{\log x-3}{\log x-2}\right|\)
- B \(\log \left|\frac{\log x-3}{\log x-2}\right|\)
- C \(\log \left|\frac{\log x-2}{\log x-3}\right|\)
- D \(\log |(\log x-3)(\log x-2)|\)
Answer & Solution
Correct Answer
(B) \(\log \left|\frac{\log x-3}{\log x-2}\right|\)
Step-by-step Solution
Detailed explanation
Let \(I_1=\int \frac{d x}{x(\log x-2)(\log x-3)}\) Let \(t=\log x \Rightarrow d t=\frac{d x}{x}\)…
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