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MHT CET2011MathematicsIndefinite Integration

x² (x x+ x)² d x is equal to

Options

  1. Ax+ x x x+ x +C
  2. Bx x- x x x+ x +C
  3. Cx-x x x x+ x +C
  4. DNone of these

Correct answer

C. x-x x x x+ x +C

Step-by-step solution

Since, d d x (x x+ x)=x x I= x² d x (x x+ x)² = x x x x (x x+ x)² d x array l = x x ( -1 x x+ x ) - x-x(- x) ² x -1 (x x+ x) d x = -x x(x x+ x) + ² d x = -x x(x x+ x) + x+C = -x+ x(x x+ x) x(x x+ x) +C = -x ² x+ x x x(x x+ x) +C = ( x-x x x+x x )+C array

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