TS EAMCET · Maths · Indefinite Integration
If \(x \neq(2 n+1) \frac{\pi}{2}\), then \(\int \frac{\cos ^3 x}{(1+\sin x)^4} d x=\)
- A \(-\frac{\cos ^4 x}{(1+\sin x)^3}+c\)
- B \(-\frac{\cos ^3 x}{(1+\sin x)^3}+c\)
- C \(-\frac{\cos ^4 x}{(1+\sin x)^4}+c\)
- D \(-\frac{\cos ^4 x}{4(1+\sin x)^4}+c\)
Answer & Solution
Correct Answer
(D) \(-\frac{\cos ^4 x}{4(1+\sin x)^4}+c\)
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