COMEDK · Maths · 28. Indefinite Integration
The value of \(\int \frac{10^{x / 2}}{\sqrt{10^{-x}-10^{x}}} d x\) is
- A \(\frac{1}{\log _{\varepsilon} 10} \sin ^{-1}\left(10^{x}\right)+c\)
- B \(2 \sqrt{10^{-x}+10^{x}}+c\)
- C \(\frac{1}{\log _{e} 10} \sinh ^{-1}\left(10^{x}\right)+c\)
- D \(\frac{-1}{\log _{e} 10} \sinh ^{-1}\left(10^{x}\right)+c\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{\log _{\varepsilon} 10} \sin ^{-1}\left(10^{x}\right)+c\)
Step-by-step Solution
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