JEE Advanced 2020 Full Test 5 Paper 2

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Question : 38 of 54

Marks: +1, -0

Let a real valued differentiable function f(x) be strictly monotonic on [a,b], then

b
∫
‌a ‌
[(f(x))2−(f(b))2]dx=
f(b)
∫
f(a)
2x(b−f−1(x))dx
b
∫
a
[(f(x))2−(f(a))2]dx=
f(b)
∫
f(a)
2x(b−f−1(x))dx
b
∫
a
[f(x)−f(a)]2dx=
f(b)
∫
f(a)
x(b−f−1(x))2dx
None of these

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