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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

For positive integers k = 1, 2, 3 , n , let S_k denotes the area of AOB_k (where 'O' is origin) such that AOB_k = k 2n , OA = 1 and OB_k = k . The value of the _ n 1 n^2 _ k=1 ^n S_k is :

Options

  1. A2 ^2
  2. B4 ^2
  3. C8 ^2
  4. D1 2 ^2

Correct answer

D. 1 2 ^2

Step-by-step solution

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