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AP EAMCET · Maths · Indefinite Integration

(cosx)logcotx2dx=

  1. A (sinx)logcotx2+c
  2. B (cosx)logcotx2+c
  3. C (sinx)logcotx2+x+c
  4. D (sinx)logcotx2x+c
Verified Solution

Answer & Solution

Correct Answer

(C) (sinx)logcotx2+x+c

Step-by-step Solution

Detailed explanation

Applying integration by parts ∫cosx·log cotx2dx=log cotx2∫cosxdx-∫dlog cotx2dx×∫cosx dxdx =log cotx2∫cosxdx-∫1cotx2×ddxcotx2×∫cosx dxdx…