If = _ 1 2 ^ 2 ^ -1 x 2x^2 - 3x + 2 ,dx, then the value of 7 ( 2 7 ) is _____. (Here, the inverse trigonometric function ^ -1 x assumes values in (- 2 , 2 ).)

JEE Advanced 2025 Mathematics question

α = dx,

then the value of is . (Here, the inverse trigonometric function assumes values in .)

Answer: 21

Substituting maps the interval to itself and leaves unchanged, so . Adding, \dfrac$2 =

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Question ID VK-035481