The value of the integral 48 ^4 _0^ ( 3 x^2 2 - x^3 ) x 1 + ^2x dx is equal to _____.

JEE Main 2022 Mathematics question

The value of the integral is equal to .

Answer: 6

Let . Then (the x-dependent terms cancel). Using and the fact that sin x/(1 +

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Question ID VK-025371