Question

\(y=\int \cos \left\{2 \tan ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x\) is an equation of a family of
(A) straight lines
(B) circles
(C) ellipses
(D) parabolas

Answer 1

Ans : (B)
Hint \(:\) IBP \(\Rightarrow I=\sin x \log \left(\tan \frac{x}{2}\right)-x+c\)
\(\therefore f(x)=c-x\)

Answer 2

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Answer 3

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