TS EAMCET · Maths · Indefinite Integration
For any integer \(n \geq 2\), let \(I_n=\int \tan ^n x d x\). If \(I_n=\frac{1}{a} \tan ^{n-1} x-b I_{n-2}\) for \(n \geq 2\), then the ordered pair \((a, b)\) equals to
- A \(\left(n-1, \frac{n-1}{n-2}\right)\)
- B \(\left(n-1, \frac{n-2}{n-1}\right)\)
- C \((n, 1)\)
- D \((n-1,1)\)
Answer & Solution
Correct Answer
(D) \((n-1,1)\)
Step-by-step Solution
Detailed explanation
Given, \(I_n=\int \tan ^n x d x\)…
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