TS EAMCET · Maths · Indefinite Integration
If \(\int \frac{\cos x+x}{1+\sin x} d x=f(x)+\int \frac{3 \cos \frac{x}{2}-\sin \frac{x}{2}}{\cos \frac{x}{2}+\sin \frac{x}{2}} d x+c_r\) then \(f(x)=\)
- A \(\frac{-2 x}{1+\tan \frac{x}{2}}\)
- B \(\frac{-x \cos \frac{x}{2}}{\cos \frac{x}{2}+\sin \frac{x}{2}}\)
- C \(\frac{2 x}{1+\tan \frac{x}{2}}\)
- D \(\frac{x \cos \frac{x}{2}}{\cos \frac{x}{2}+\sin \frac{x}{2}}\)
Answer & Solution
Correct Answer
(A) \(\frac{-2 x}{1+\tan \frac{x}{2}}\)
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