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The indefinite integral I=int((sin^(2)x-...

The indefinite integral `I=int((sin^(2)x-cos^(2)x)^(2019))/((sinx)^(2021)(cosx)^(2021))dx` simplifies to (where c is an integration constant)

A

`((sin^(2)x-cos^(2)x)^(2020))/(2020)+c`

B

`((tanx-cotx)^(2020))/(2020)+c`

C

`((sinx-cosx)^(2020))/(2020)+c`

D

`((tan^(2)x+cot^(2)x)^(2020))/(2020)+c`

Text Solution

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The correct Answer is:
B
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