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Question: Answered & Verified by Expert
If $x \neq(2 n+1) \frac{\pi}{2}$, then $\int \frac{\cos ^3 x}{(1+\sin x)^4} d x=$
MathematicsIndefinite IntegrationTS EAMCETTS EAMCET 2022 (20 Jul Shift 1)
Options:
  • 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 $-\frac{\cos ^4 x}{4(1+\sin x)^4}+c$
Solution:
1115 Upvotes Verified Answer
The correct answer is: $-\frac{\cos ^4 x}{4(1+\sin x)^4}+c$
No solution. Refer to answer key.

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