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AP EAMCET202419 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

If I _ n = ₀^ 4 ^n x d x , then I ₁₃+ I ₁₁=

Options

  1. A1 13
  2. B1 12
  3. C1 10
  4. D1 11

Correct answer

B. 1 12

Step-by-step solution

Given, I_n= ₀^ / 4 ^n x d x and I_ n+1 = ₀^ / 4 ^ n+1 x d x (n n+1)I_ n-1 = ₀^ / 4 ^ n-1 x d x (n n-1) Since, we know I_ n-1 +I_ n+1 = 1 n I₁₁+I₁₃= 1 12 ( n=12) .

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