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Q.No9: The value of fLog x dx is

Answer»

∫ logx dx = ∫ logx *1 dx , Now using formula of integration by parts taking logx = 1st function and 1 as second function ,we get,

∫ logx *1 dx

=logx* ∫1 dx - ∫ { d/dx (logx) ∫ 1dx}dx

=x logx +c1 - ∫{ (1/x)*x }dx

= xlogx +c1 - x +c2

= xlogx -x + C (c1,c2 and C are integration constant)

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