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AP EAMCET202021 Sep 2020Morning ShiftMathematicsIndefinite IntegrationActual

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

Options

  1. A( 1 2 |1+2 (x)|+c )
  2. B( 1 2 |1-2 (x)|+c )
  3. C( 1 2 |1+2 (x)|+c )
  4. D( 1 2 |1+2 (x)|+c )

Correct answer

C. ( 1 2 |1+2 (x)|+c )

Step-by-step solution

(I= d x ^2 x+ 2 x = ^2 x d x 1+2 x ) Put (1+2 x=t ^2 x d x= d t 2 ) So, (I= 1 2 d t t = 1 2 _e|t|+C= 1 2 _e|1+2 x|+C ) Hence, option (c) is correct.

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