JEE Advanced 2020 Full Test 2 Paper 1

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Question : 43 of 54

Marks: +1, -0

f(x) is a differentiable function such that f(x)=x2+

x

∫

0

e−tf(x−t)dt, then

f(x)=‌
x3
3
+x
f(x)=‌
x3
3
+x2
f′(x)=x2+2x
2
∫
−2
(f(x)−x2)dx=0

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