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Manipal MET2016MathematicsDefinite Integration

The value of ₀^ | ^3 | d is

Options

  1. A0
  2. B4 3
  3. C3 8

Correct answer

C. 3 8

Step-by-step solution

Let I= ₀^ ^3 d [ 0 for 0 ]= ₀^ (1- ^2 ) d Put =t - d =d t I= _ -1 ^1 (1-t^2 ) d t= [t- t^3 3 ]_ -1 ^1=2- 2 3 = 4 3

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