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Manipal MET2011MathematicsDefinite Integration

_ n 1 2 [ ^2 4 n + ^2 2 4 n + + ^2 n 4 n ] is equal to

Options

  1. A4
  2. B2
  3. C3
  4. D5

Correct answer

A. 4

Step-by-step solution

aligned _ n 1 n & [ ^2 4 n + ^2 2 4 n + + ^2 n 4 n ] & = _ n 1 n _ r=1 ^n ^2 r 4 n & = ₀^1 ^2 x 4 d x & = 4 [ x 4 ]₀^1= 4 aligned

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