If f(x)= cases e^ x x, & for |x| 2 2, & otherwise cases then _ -2 ^ 3 f(x) ,dx is equal to

MHT CET 2023 Mathematics question

If then is equal to

Answer: (B)

Split the interval: . For the first integral, is an odd function ( is even, is odd, so ), hence its

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Question ID VK-098088