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NDA2024MathematicsDefinite IntegrationActual

Let (a)= _a^ a+100 | x| d x What is (a) equal to?

Options

  1. A0
  2. Ba
  3. C100 a
  4. D200

Correct answer

D. 200

Step-by-step solution

(a)= _a^ a+100 | x| d x As period of | x|= and | x|= x in aligned (a) & = ₀^ 100 | x| d x & =100 ₀^ | x| d x & =100 ₀^ x d x (a) & =100(- x)₀^ =100 2=200 aligned

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