The integral ∫ d x x + 1 3 4 x - 2 5 4 , is equal to

The integral dxx+134x-254, is equal to
  1. 4x-2x+114+c
  2. -43 x+1x-214+c
  3. 4x+1x-214+c
  4. -43x-2x+114+c

Solution

dxx+134x-254

=dxx+12x-2x+154

Put, x-2x+1=t3x+12dx=dt

I=-431t14+c

=-43x+1x-214+cc being the constant of integration.

Asked in: JEE Main 2015 (10 Apr Online)

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