WBJEE · Maths · Indefinite Integration
\(y=\int \cos \left\{2 \tan ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x\) is an equation of a family of
- A straight lines
- B circles
- C ellipses
- D parabolas
Answer & Solution
Correct Answer
(D) parabolas
Step-by-step Solution
Detailed explanation
Let \(I=\int \cos \left(2 \tan ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x\) Put \(x=\cos 2 \theta \Rightarrow d x=-2 \sin 2 \theta d \theta\)…
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