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BITSAT Mathematics Definite Integration 2020 BITSAT 2020

BITSAT Mathematics Question (2020) — Solution

Question

_ / 3 ^ / 2 x ( [x]-x) dx is equal to

Options

  1. A. 1 2 + 6
  2. B. 1- 3 2 + 6
  3. C. - 1 2 - 6
  4. D. 3 2 -1- 6

Answer

B. 1- 3 2 + 6

Step-by-step solution

In the interval 3 to 2 ,[ x ]=1 aligned I &= _ / 3 ^ / 2 x ( - x ) dx = _ / 3 ^ / 2 x x d x \\ &=[- x x + x ]_ / 3 ^ / 2 =1- 3 2 + 6 aligned

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