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AP EAMCET202124 Aug 2021Evening ShiftMathematicsIndefinite IntegrationActual

3^x (f^ (x)+f(x) 3 ) d x is equal to

Options

  1. A3^x f^ (x)+c
  2. B3^x 3+c
  3. C3^x f(x)+c
  4. D3^x+c

Correct answer

C. 3^x f(x)+c

Step-by-step solution

Let .I= 3^x f^ (x)+f(x) 3 ) d xI= 3^x f^ (x) d x+ 3^x f(x) 3 d x aligned & I=3^x f(x)- (3^x f(x) 3 ) d x+ 3^x f(x) 3 d x & I=3^x f(x)+c aligned

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