Let f(x)(x>1) be a differentiable function satisfying f(x)=(\ln x)^{2}-\\int_{1} ^{e} \frac{f(t)}{t} d t. Then if Area bounded by tangent line of y=f(x) at (e, f(e)), then curve y=f(x) and x=1 is A then [{A}] is ([.] is G. I. F )

JEE Advanced 2021 Full Test 1 Paper 2

SECTION – B (Single Digit Integer Type)
This section contains 06 questions. The answer to each question is a Single Digit integer ranging from 0 to 9, both inclusive.

Question : 46 of 54

Marks: +1, -0

Let f(x)(x>1) be a differentiable function satisfying f(x)=(ln‌x)2−

∫

f(t)

dt. Then if Area bounded by tangent line of y=f(x) at (e,f(e)), then curve y=f(x) and x=1 is A then [A] is ([.] is G. I. F )

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