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MHT CET202210 Aug 2022Morning ShiftMathematicsDefinite IntegrationActual

The value of _ - ^ ^2 x 1+ ^x ~d x, >0 is

Options

  1. A2
  2. B2

Correct answer

3

Step-by-step solution

from (i)+(ii) aligned & 2 I= _ - ^ (1+ ^x ) ^2 x (1+ ^x ) d x= _ - ^ ^2 x ~d x & 2 I=2 ₀^ ^2 x ~d x [ ^2( -x)= ^2 x ] & I= ₀^ 1+ 2 x 2 ~d x [ x 2 + 2 x 4 ]₀^ = 2 aligned

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