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integrate the following 
integral of logx\x^2.dx   on (0,infinity)
one month ago

Answers : (2)

24740 Points
Dear student
log x /x² dx
Let log x = t then x = e^t
Also 1/x dx = dt
Hence it will be
t e^-t dt
Now you can do it by product rule
one month ago
Vikas TU
11761 Points

Since you should be doing such question once you know the concept, I will skip the solution here and just give the steps.

Put logx = t

Therefore dx/x = dt and x = exp(t) Limits will change accordingly.

Now substitute all of the above in the integral.

Use method of integration by parts. (that is the u,v integral method)

You will get the integral's answer in terms of t, in which you substitute the new limits and get the answer.

Note : Answer is 1.

one month ago
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