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MHT CET2010MathematicsDefinite Integration

The value of ₄⁷ (11-x)² x²+(11-x)² d x is

Options

  1. A1
  2. B1 / 2
  3. C3 / 2
  4. D0

Correct answer

C. 3 / 2

Step-by-step solution

Let aligned I &= ₄⁷ (11-x)² x²+(11-x)² d x &= ₄⁷ x² (11-x)²+x² d x aligned On adding Eqs. (i) and (ii), we get 2 I= ₄⁷ 1 d x=[x]₄⁷=3 I= 3 2

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