=â«arctan(tan²u)du
=uarctan(tan²u)-â«u(2tanusec²u)/(1+(tanu)^4)du
åè
=â«2usinucosu/((cosu)^4+(sinu)^4)du
=â«usin2u/(1-2cos²usin²u)du
=â«2usin2u/(2-sin²2u)du
=â«u/(â2-sin2u)-u/(â2+sin2u)du
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=uarctan(tan²u)-â«u(2tanusec²u)/(1+(tanu)^4)du
åè
=â«2usinucosu/((cosu)^4+(sinu)^4)du
=â«usin2u/(1-2cos²usin²u)du
=â«2usin2u/(2-sin²2u)du
=â«u/(â2-sin2u)-u/(â2+sin2u)du
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