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MHT CET202124 Sep 2021Morning ShiftMathematicsIndefinite IntegrationActual

If x x(x+1) d x=k ⁻¹ m+c , (where c is constant of integration), then

Options

  1. Ak =1, ~m = x
  2. Bk =2, ~m = x
  3. Ck =1, ~m = x
  4. Dk =2, ~m = x

Correct answer

B. k =2, ~m = x

Step-by-step solution

I= x x(x+1) d x Put x ^2 d x=2 ^2 d aligned & I= (2 ^2 ) ^2 (1+ ) d & =2 ^2 ^2 d =2 d =2 & =2 ⁻¹ x +c aligned Comparing with given data, k =2, ~m = x

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