The value of I= _ _e 2 ^ _e 3 x x^2 x^2+ ( _e 6-x^2) dx is

MHT CET 2024 Mathematics question

The value of is

Answer: (A)

Put , . The limits become to , so . Since , use the property \int_a^bf(t)dt=\int_a^bf(a+b-t)dt: with the integrand becomes .

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Question ID VK-092668