AP EAMCET · Maths · Indefinite Integration
\(\int \frac{1}{x \sqrt{x^6+1}} d x=\)
- A \(\frac{1}{3} \operatorname{Sinh}^{-1}\left(\frac{1}{x^3}\right)+C\)
- B \(-\frac{1}{3} \operatorname{Sinh}^{-1}\left(x^3\right)+C\)
- C \(\frac{-1}{3} \operatorname{Sinh}^{-1}\left(\frac{1}{x^3}\right)+C\)
- D \(3 \operatorname{Sinh}^{-1}\left(\frac{1}{x^3}\right)+C\)
Answer & Solution
Correct Answer
(C) \(\frac{-1}{3} \operatorname{Sinh}^{-1}\left(\frac{1}{x^3}\right)+C\)
Step-by-step Solution
Detailed explanation
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