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GATE 2015-2_26 Re-ask

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Consider this question:-

https://gateoverflow.in/8124/gate2015-2_26

Please clarify my doubts:-

I have drawn its graph and I am getting an open graph without any bounded region. In this, the 2nd point says that f is not bounded in [-1,1].

And 3rd point says that "area A is non-zero and finite"

Now, for calculating the area bounded by curve we need to integrate it within the given interval? But when I am comparing with the graph I am getting infinite area since the area is not bounded. Then how the third point is true?

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