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Show that int0^(pi/2)(cosx-sinx)/(1+si...

Show that
`int_0^(pi/2)(cosx-sinx)/(1+sinxcosx)dx=0`

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`int_0^(pi/2)(cosx-sinx)/(1+sinxcosx)dx`
=`int_0^(pi/2)(cos(pi/2-x)-sin(pi/2-x))/(1+sin(pi/2-x)cos(pi/2-x))dx`
=`int_0^(pi/2)(cosx-sinx)/(1+sinxcosx)dx`
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