AP EAMCET · Maths · Indefinite Integration
\(\int(\sqrt{\tan x}+\sqrt{\cot x}) d x=\)
- A \(\sqrt{2} \operatorname{Tan}^{-1}\left(\frac{\tan x+1}{\sqrt{\tan x}}\right)+c\)
- B \(\sqrt{2} \operatorname{Tan}^{-1}\left(\frac{\tan x-1}{\sqrt{2 \tan x}}\right)+c\)
- C \(\frac{1}{\sqrt{2}} \operatorname{Tan}^{-1}\left(\frac{\tan x+1}{\sqrt{2} \tan x}\right)+c\)
- D \(\frac{1}{\sqrt{2}} \operatorname{Tan}^{-1}\left(\frac{\sqrt{\tan x}-1}{\sqrt{2} \tan x}\right)+c\)
Answer & Solution
Correct Answer
(B) \(\sqrt{2} \operatorname{Tan}^{-1}\left(\frac{\tan x-1}{\sqrt{2 \tan x}}\right)+c\)
Step-by-step Solution
Detailed explanation
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