integrate:

lim-.0-pi xtanx/secx.cosecx

0πxtanxsecx×cosecxdx0πx×sinxcosx1cosx×1sinxdx= 0π xsin2xdx  0π x×(1-cos2x)2dx =0π (x2-xcos2x2)dx= x24 -(xsin2x4+ 18cos2x) = x24 -xsin2x4- 18cos2xSo putting the limits, we get [π24 -18]-[-18] =π24 (ans)

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