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CBSE Class 12-science Answered

∫xdx/1+xtanx

Asked by sweety | 11 Dec, 2015, 10:49: AM
answered-by-expert Expert Answer
begin mathsize 11px style integral fraction numerator straight x over denominator 1 plus xtanx end fraction dx equals integral fraction numerator xcosx over denominator cosx plus xsinx end fraction dx Substitute space cosx plus xsinx equals straight t rightwards double arrow open parentheses negative sinx plus xcosx plus sinx close parentheses dx equals dt rightwards double arrow xcosxdx equals dt The space integral space becomes integral dt over straight t equals lnt equals ln open parentheses space cosx plus xsinx close parentheses plus straight C end style
Answered by satyajit samal | 14 Dec, 2015, 12:49: PM
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