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Evaluate: int(secx)/(secx-tanx)dxdot...

Evaluate: `int(secx)/(secx-tanx)dxdot`

Text Solution

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