please tellme whatisthe integral of logxDivided by x(Square)

Asked by  | 11th Jan, 2010, 08:55: PM

Expert Answer:

log x dx/x2

Put log x = y; dx/x = dy and x = ey

ye-ydy = - ye-y - (-e-y )dy

= -ye-y -e-y + C

=-(1/x)(log x + 1) + C

Regards,

Team,

TopperLearning.

Answered by  | 11th Jan, 2010, 10:13: PM

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