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Grade 12Integral Calculus

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

Profile image of viswanath
11 Years agoGrade 12
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2 Answers

Profile image of Yash Baheti
11 Years ago
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.
Profile image of viswanath
11 Years ago
I found a simpler way to solve this ,than integration by parts.