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AP EAMCET202422 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

[( 2 x)^2+2 2 x ] d x=

Options

  1. A( 2 x)^2+c
  2. B2 x 2 x+c
  3. Cx( 2 x)^2+c
  4. D2 x( x)^2+c

Correct answer

C. x( 2 x)^2+c

Step-by-step solution

aligned & I = [( 2 x)^2+2 2 x ] d x= ( 2 x)^2 d x+2 2 x d x I= & x( 2 x)^2-2 2 x d x+2 2 x d x+c I= & x( 2 x)^2+c aligned

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