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MHT CET2011MathematicsDefinite Integration

₀^ / 2 d x 1+ x is equal to

Options

  1. A/ 2
  2. B/ 3
  3. C/ 4

Correct answer

3

Step-by-step solution

Given, I= ₀^ / 2 d x 1+ x array rlr I & = ₀^ / 2 x x+ x d x & I & = ₀^ / 2 ( / 2-x) ( / 2-x)+ ( / 2-x) d x & = ₀^ / 2 x x+ x d x & array On adding Eqs. (i) and (ii), we get aligned 2 I &= ₀^ / 2 ( x+ x x+ x ) d x &= ₀^ / 2 d x= / 2 I &= / 4 aligned

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