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Evaluate the definite integrals int0p...

Evaluate the definite integrals `int0pi/4tanx""dx`

Text Solution

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`int_(0)^(pi//4)tan x dx = [log |secx|]_(0)^(pi//4)`
`=log |sec.(pi)/(4)|-log|sec0|`
`=log sqrt(2)-log 1`
`=(1)/(2)log 2`
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