Evaluate int(secx-tanx)^(2)dx...

Evaluate `int(secx-tanx)^(2)dx`

Text Solution

Verified by Experts

The correct Answer is:

`2(secx+tanx)-x+C`

`int(secx+tanx)^(2)dx=int(sec^(2)x+tan^(2)x+2secxtanx)dx`
`=int(2sec^(2)x-1+2secxtanx)dx`
`=2(secx+tanx)-x+C`

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