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KVPY2012MathematicsDefinite Integration

The value of _ -2012 ²⁰¹² ( (x³ )+x⁵+1 ) d x is -

Options

  1. A2012
  2. B2013
  3. C4024
  4. D4042

Correct answer

C. 4024

Step-by-step solution

_ -2012 ²⁰¹² ( (x³ )+x⁵+1 ) d x= _ -2012 ²⁰¹² ( (x³ ) d x+ _ -2012 ²⁰¹² x⁵ d x+ _ -2012 ²⁰¹² d x=4024 .

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