AP EAMCET · Maths · Indefinite Integration
If \(\int \frac{d x}{x^{2022}\left(1+x^{2022}\right)^{1 / 2022}}=\frac{-\left(1+x^m\right)^{n / m}}{n x^n}+C\), then \(\mathrm{m}-\mathrm{n}=\)
- A 1
- B 2
- C 3
- D 0
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
Given \(\int \frac{\mathrm{dx}}{\mathrm{x}^{2022}\left(1+\mathrm{x}^{2022}\right)^{1 / 2002}}\) \[ \Rightarrow \int \frac{\mathrm{dx}}{\mathrm{x}^{2023}\left(1+\mathrm{x}^{-2022}\right)^{1 / 2022}} \] Let \(1+\mathrm{x}^{-2022}=\mathrm{t}\)…
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