AP EAMCET · Maths · Indefinite Integration
If then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
I=∫1+tanxsin2xdx=∫1sin2x+tanxsin2xdx =∫12sinxcosxdx+∫sinx2sinxcosxcosxdx =∫12sinxcosxcos2xdx+∫12sinxcosxcos2xdx =∫sec2x2tanxdx+∫sec2x2tanxdx =12lntanx+tanx+C So, 4A-B=4×12-1=1
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