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BITSAT2014MathematicsDefinite IntegrationActual

₀¹⁰ x¹⁰ (10-x)¹⁰+x¹⁰ d x is equal to

Options

  1. A10
  2. B5
  3. C2
  4. D1 0

Correct answer

B. 5

Step-by-step solution

Let I= ₀¹⁰ x¹⁰ (10-x)¹⁰+x¹⁰ d x ...(1) I= ₀¹⁰ (10-x)¹⁰ (10-x)¹⁰+x¹⁰ d x ...(2) Adding (1) and (2), we get 2 I= ₀¹⁰ d x 2 I=10 I=5

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