If F(x)=f(x) + f(1/x) and f(x)= 1 ∫ x (ln(t)/(t+1))dt .Find F(e 2 )

If F(x)=f(x) + f(1/x) and f(x)=
  1x  (ln(t)/(t+1))dt .Find F(e2)


2 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
8 years ago

The tough part is the integration here.
Put lnt as k and substitute. Upon transforming integral into k k , seperate the numberator and integrate by parts.

After the integration find F(X) and find the required value.
40 Points
8 years ago
I found a simpler way to solve this ,than integration by parts.

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