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MHT CET202013 Oct 2020Evening ShiftMathematicsDefinite IntegrationActual

₀^ 2 1- x cosec x+ x d x=

Options

  1. A0
  2. B2
  3. C1
  4. D4

Correct answer

A. 0

Step-by-step solution

Let aligned I &= ₀^ 2 1- x cosec x+ x d x I &= ₀^ 2 1- x x 1 x + x d x= ₀^ 2 x- x 1+ x x d x ...(1) I &= ₀^ 2 ( 2 -x )- ( 2 -x ) 1+ ( x -x ) ( 2 -x ) d x I &= ₀^ 2 x- x 1+ x x d x ...(2) aligned Adding equations (1) & (2), we get array l 2 I= ₀^ 2 x- x+ x- x 1+ x x d x 2 I=0 I=0 array

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