If F(x)=f(x) + f(1/x) and f(x)= 1∫x (ln(t)/(t+1))dt .Find F(e2)
If F(x)=f(x) + f(1/x) and f(x)=
1∫x (ln(t)/(t+1))dt .Find F(e2)
viswanath , 11 Years ago
Grade 12
Integral Calculus> If F(x)=f(x) + f(1/x) and f(x)= 1 ∫ x (ln...
2 Answers
Yash Baheti
Hi,
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.
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.
viswanath
I found a simpler way to solve this ,than integration by parts.
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