TS EAMCET · Maths · Indefinite Integration
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
I=∫cotxsin2x ⇒I=∫cosxsinx·12sinxcosxdx ⇒I=12∫cosxsinxcosxcosec2xdx ⇒I=12∫cosec2xcotxdx Put cotx=t ⇒-cosec2xdx=dt ⇒I=-12∫dtt=-t+C⇒I=-cotx+C
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