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AP EAMCET · Maths · Indefinite Integration

If 1-(cotx)2021tanx+(cotx)2022dx=1Alog(sinx)2023+(cosx)2023+c, then A=______

  1. A 2020
  2. B 2021
  3. C 2022
  4. D 2023
Verified Solution

Answer & Solution

Correct Answer

(D) 2023

Step-by-step Solution

Detailed explanation

Given that ∫1-cotx2021tanx +cotx2022 dx =∫sinx2021 - cosx2021sinx2021×sinx2022cosxsinx2023+cosx2023dx =∫sinx2021 - cosx20211×sinxcosxsinx2023+cosx2023dx =∫sinx2022cosx-cosx2022sinxsinx2023+cosx2023dx…