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NDA2011MathematicsIndefinite IntegrationActual

What is d x ^2 x ^2 x equal to? where c is the constant of integration.

Options

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

Correct answer

B. x- x+c

Step-by-step solution

aligned d x ^2 x ^2 x & = ( ^2 x+ ^2 x ) d x ^2 x ^2 x & = cosec ^2 d x+ ^2 x d x & =- x+ x+c & = x- x+c . aligned

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