Q .     The volume of ` tan^(-1) [ ( sqrt(1 + x^2) + sqrt(1 - x^2))/( sqrt(1 + x^2) - sqrt(1 - x^2)) ]`, `|x| < 1/2 , x != 0` , is equal to:

JEE 2017 Mains 8 April
A

` pi/4 - 1/2 cos^(-1) x^2 `

B

` pi/4 + 1/2 cos^(-1) x^2 `

C

` pi/4 - cos^(-1) x^2 `

D

` pi/4 + cos^(-1) x^2 `

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