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NDA2022MathematicsIndefinite IntegrationActual

What is (x^x )^2(1+ x) d x equal to?

Options

  1. Ax^ 2 x +c
  2. B1 2 x^ 2 x +c
  3. C2 x^ 2 x +c
  4. D1 2 x^x+c

Correct answer

B. 1 2 x^ 2 x +c

Step-by-step solution

I= (x^x )^2 (1+ x ) d x Let x^ x =t aligned & t=x x d t=x^ x (1+ x) d x & I= t d t= - 2 +C=-(x)+C & 1 2 x^ 2 x +C aligned

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