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Manipal MET2013MathematicsIndefinite Integration

x^x (e x) d x is equal to

Options

  1. Ax^x+c
  2. Bx x+c
  3. C( x)^x+c
  4. Dx^ x +c

Correct answer

A. x^x+c

Step-by-step solution

Let I= x^x( logex ) d x= x^x(1+ x) d x let t=x^x=e^ x x d t d x =x^x x 1 x + x array ll & d t=x^x(1+ x) d x & I= t+c=x^x+c . array

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