99 Percentile Qs Bank for JEE MainMathematicsDefinite Integration

₀^ / 2 x- x 1- x x d x is equal to

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Correct answer

A. 0

Step-by-step solution

Let I= ₀^ / 2 x- x 1- x x d x On putting x= ( 2 -x ) in Eq. (i), we get aligned I &= ₀^ / 2 ( 2 -x )- ( 2 -x ) 1- ( 2 -x ) ( 2 -x ) d x &= ₀^ / 2 x- x 1- x x d x &=- ₀^ / 2 ( x- x 1- x x ) d x aligned On adding Eqs. (i) and (ii), we get 2 I= ₀^ / 2 0 d x=0 I=0

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