Consider the equation _1^e ( _e x)^ 1/2 x (a - ( _e x)^ 3/2 )^2 ,dx = 1, a (- , 0) (1, ). Which of the following statements is/are TRUE ?

JEE Advanced 2022 Mathematics question

Consider the equation

dx = 1, a (-∞, 0) (1, ∞).

Which of the following statements is/are TRUE ?

Answer: (C),(D)

Put , ; goes from 0 to 1. The integral becomes $23 = 23[ = 23(-1a) =

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Question ID VK-033962