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Integrate the following and please simplify it.xtanx sec^2x dx Integrate the following and please simplify it.xtanx sec^2x dx
hi ! here,Y = ∫xtanxsec2 x dx take, U = x dV =tanxsec2 x dx dU =1 V = ∫ tanx sec2 x dx y = tanx dy = sec2 x dx V = ∫ y dy = y2 /2 = tan2 x /2 Y = ½ x tan2 x – ½ ∫ tan2 x dx = ½ (xtan2 x – ∫(sec2 x -1)dx) Y = ½ xtan2 x + x- tanx is the answer !
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