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MHT CET20228 Aug 2022Morning ShiftMathematicsIndefinite IntegrationActual

x 1-2 x^4 ~d x= (Where C is a constant of integration)

Options

  1. A1 2 2 ⁻¹ ( 2 x^2 )+C
  2. B1 2 2 ⁻¹ (2 2 x^2 )+C
  3. C1 2 ⁻¹(2 x)+C
  4. D1 2 ⁻¹( 2 x)+C

Correct answer

A. 1 2 2 ⁻¹ ( 2 x^2 )+C

Step-by-step solution

x 1-2 x^4 ~d x= 1 2 2 2 2 x ~d x 1- ( 2 x^2 )^2 = 1 2 2 ⁻¹ ( 2 x^2 )

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