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AP EAMCET202421 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

( _ r=0 ^ x^r 3^r r! ) d x=

Options

  1. Ae^x+c
  2. Be^ 3 x 3 +c
  3. C3 e^ 3 x +c
  4. D3 e^ x +c

Correct answer

B. e^ 3 x 3 +c

Step-by-step solution

aligned & _ r=0 ^ x^r 3^r r! = (3 x)^0 0! + 3 x 1! + (3 x)^2 2! + (3 x)^3 3! . . =e^ 3 x & _ r=0 ^ x^r 3^r r d x= e^ 3 x d x= e^ 3 x 3 +c aligned

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