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KVPY2017MathematicsDefinite Integration

Let f ( x )= 3, x ², 1 x ² for 1 2 x 2 . Then the value of the integral _ 1 / 2 ² f(x) d x is

Options

  1. A11 3
  2. B13 3
  3. C14 3
  4. D16 3

Correct answer

C. 14 3

Step-by-step solution

Given Integral can be distributed into _ 1 / 2 ^ 1 / 3 1 x² d x+ _ 1 / 3 ^ 3 3 d x+ _ 3 ² x² d x= 14 3

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