If f(x) is an even function, then _ -2 ^ 2 (|x|+f(x) x )dx is

MHT CET 2026 Mathematics question

If f(x) is an even function, then is

Answer: (B)

is even, so . Since f is even and is odd, is odd and its integral over the symmetric interval is 0.

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Question ID VK-098531