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AP EAMCET201823 Apr 2018Evening ShiftMathematicsIndefinite IntegrationActual

( ^4 x+ ^4 x ) d x=

Options

  1. A2 3 ^3 x- 2 3 x+x+c
  2. B1 3 ^2 x x+ 5 3 x+ ^3 x 3 +x+c
  3. C2 3 ^3 x+x+c
  4. D1 3 ^2 x x- 5 3 x+ ^3 x 3 +x+c

Correct answer

C. 2 3 ^3 x+x+c

Step-by-step solution

aligned & I= ( ^4 x+ ^4 x ) d x & = [ ^4 x+ ( ^2 x-1 )^2 ] d x & = (2 ^4 x-2 ^2 x+1 ) d x & = [2 (1+ ^2 x ) ^2 x-2 ^2 x+1 ] d x & = (2 ^2 x ^2 x+1 ) d x= 2 3 ^3 x+x+c . aligned

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