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MHT CET202020 Oct 2020Morning ShiftMathematicsDefinite IntegrationActual

₁²⁸ d x x(1+ x)² =

Options

  1. A2
  2. B1+ 2
  3. C2 (1+ 2)
  4. D1 (1+ 2)

Correct answer

C. 2 (1+ 2)

Step-by-step solution

I= ₁² d x x(1+ x) Put 1+ x=t 1 x d x=d t When x=1, t=1 and when x=2, t=1+ 2 aligned I &= ₁^ 1+ 2 d t t =[ t]₁^ 1+ 2 = (1+ 2)- 1 &= (1+ 2) aligned

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