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COMEDK2013MathematicsDefinite Integration

_ -1 ¹|1-x| d x is equal to

Options

  1. A-2
  2. B0
  3. C2
  4. D4

Correct answer

C. 2

Step-by-step solution

Let I= _ -1 ¹|1-x| d x aligned &= _ -1 ¹(1-x) d x [ |x|= array cc -x, & x < 0 x, & x 0 array ] . &= [x- x² 2 ]_ -1 ¹= (1- 1 2 )- (-1- 1 2 )= 1 2 + 3 2 =2 aligned

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