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AP EAMCET202018 Sep 2020Morning ShiftMathematicsIndefinite IntegrationActual

( 7 x- 8 x 1+2 5 x d x= )

Options

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

Correct answer

B. ( 1 2 2 x- 1 3 3 x+c )

Step-by-step solution

( aligned I & = 7 x- 8 x 1+2 5 x d x & = 7 x- 8 x 1+2-4 ^2 ( 5 x 2 ) d x & = 2 15 x 2 x 2 3-4 ^2 ( 5 x 2 ) d x & = 2 15 x 2 x 2 5 x 2 3 5 x 2 -4 ^3 5 x 2 d x & .= 2 x 2 5 x 2 d x= 2 x- 3 x ) d x & = 1 2 2 x- 1 3 3 x+c aligned )

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