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NDA2010MathematicsDefinite IntegrationActual

What is _ - 4 ^ 4 ^3 x d x equal to?

Options

  1. A3
  2. B1 3
  3. C1 2
  4. D0

Correct answer

D. 0

Step-by-step solution

aligned A & = _ - / 4 ^ / 4 x ^2 x d x & = _ - / 4 ^ / 4 x ( ^2 x-1 ) d x & = _ - / 4 ^ / 4 x ^2 x d x- _ - / 4 ^ / 4 x d x aligned Put x=t or ^2 x d x=d t aligned & A= _ -1 ^1 t d t-[ x]_ - / 4 ^ / 4 & = [ t^2 2 ]_ -1 ^1-[ ( / 4)- (- / 4)] & =0-[ 2 - 2 ]=0 aligned

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