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BITSAT2010MathematicsDefinite IntegrationActual

( 4 (x+ 6 ) 2 x ( 5 6 +x ) d x )

Options

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

Correct answer

A. (- (x+ 4 x 4 + 2 x 2 )+c )

Step-by-step solution

( aligned & 4 (x+ 6 ) 2 x ( 5 6 +x ) d x & =2 ( (2 x+ ) 2 3 ) 2 x d x & =2 (- 2 x- 1 2 ) 2 x d x & = (-2 ^2 2 x- 2 x ) d x & =- (1+ 4 x+ 2 x) d x & =-x- 4 x x - 2 x 2 +c aligned )

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