AP EAMCET · Maths · Indefinite Integration
If , then its anti-derivative given
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
⇒fx=1cos2x1+tanx put 1+tanx=t ⇒1·sec2x2·1+tanx=dtdx ⇒dx=21+tanxsec2xdt ⇒∫fxdx=∫1cos2x1+tanxdx ⇒∫fxdx=∫21+tanxsec2x·cos2x·1+tanxdt ⇒Fx=∫2dt ⇒Fx=2t+C ⇒Fx=21+tanx+C…
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