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AP EAMCET202318 May 2023Evening ShiftMathematicsDefinite IntegrationActual

( 8^ 1+x +4^ 1+x 2^ 2 x ) d x=

Options

  1. A2^x 2 +4 x+C
  2. B8 2^x 2 -4 x+C
  3. C8 2^ x 2 +4 x + C
  4. D2^ x 2 -4 x + C

Correct answer

C. 8 2^ x 2 +4 x + C

Step-by-step solution

aligned & 8^ 1+ x +4^ 1+ x 2^ 2 x = 8.8^ x +4 4^ x 2^ 2 x dx + c & = 8.2^ 3 x +4.2^ 2 x 2^ 2 x dx + c & = (8.2^ x +4 ) dx + c =8 2^ x _e 2 +4 x + c aligned

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