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MHT CET20226 Aug 2022Evening ShiftMathematicsIndefinite IntegrationActual

5 x 2 x 2 d x= (where C is a constant of integration.)

Options

  1. Ax+ x+2 2 x+C
  2. Bx+2 x+2 2 x+C
  3. Cx+2 x+ 2 x+C
  4. Dx+ x+ 2 x+C

Correct answer

C. x+2 x+ 2 x+C

Step-by-step solution

aligned & 5 x 2 x 2 d x= ( x 2 +2 x ) x 2 d x & = x 2 2 x+ x 2 2 x x 2 d x & ( 2 x+ x 2 4 x 2 x ) d x & = ( 2 x+2(1+ x) x) d x & = ( 2 x+2 x+2 ^2 x ) d x & = ( 2 x+2 x+1+ 2 x) d x aligned aligned & = (1+2 x+2 x) d x & =x+2 x+ 2 x+C aligned

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