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Evaluate : int0^(pi/4)(tanx+cotx)^(-2)d...

Evaluate : `int_0^(pi/4)(tanx+cotx)^(-2)dx`

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`int_0^(pi/4)(tanx+cotx)^(-2)dx`
`=int_0^(pi/4)(sqrt((sinx)/(cosx))+sqrt((cosx)/(sinx)))`
`=∫_0^(π/4)(​sinx+cosx​)/sqrt(​sinx×cosx)dx`
`=Let sinx−cosx=t`
`(cosx+sinx)dx=dt`
...
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