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Manipal MET2016MathematicsIndefinite Integration

The value of x+x x x^2+x x d x is

Options

  1. A| x 1+ x |+C
  2. B| x x+ x |+C
  3. C| 2 x x+ x |+C
  4. D| x x+ x |+C

Correct answer

D. | x x+ x |+C

Step-by-step solution

x+x x x^2+x x d x aligned & = x+ x-x+x x x^2+x x d x & = d x x - x(1- x) x(x+ x) d x aligned aligned & = x- (x+ x)+C & = | x x+ x |+C aligned

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