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Integrate the following w.r.t. x  (tan3x - xtan2x)

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tan3x - xtan2x. dx
tan2x (tan x - x).dx
sec2x - 1(tan x - x).dx
sec2x.tan x.dx - x.sec2x.dx - tan x.dx + x.dx

Let tanx = t then sec2x.dx = dt . the break u.v in x.sec2x.dx
/2 - xtanx + tan x.dx tan x.dx + (x2)/2
(tan2x)/- xtanx + (x2)/2

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