AP EAMCET · Maths · Indefinite Integration
If , then "" is equal to
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
∫cos4x+1cotx-tanx =∫cos4x+1cos2x-sin2xcosxsinx Use: cos2x=2cos2x-1=1-2sin2x =∫2cos22xcos2x×sinxcosxdx =12∫2cos2xsin2xdx =12∫sin4xdx =12×-cos4x4+c =-18cos4x+c ⇒ k=-18
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