If = _ x 0 e^ x^3 - (1 - x^3)^ 1 3 + ((1 - x^2)^ 1 2 - 1 ) x x ^2 x , then the value of 6 is _____.

JEE Advanced 2022 Mathematics question

β = ,

then the value of is .

Answer: 5

Expansions: , , and .

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Question ID VK-034012