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KCET2017MathematicsDefinite Integration

( ₀^ 2 ⁷ x ⁷ x+ ⁷ x d x ) is equal to

Options

  1. A( 2 )
  2. B( I I 4 )
  3. C( I 6 )
  4. D( 3 )

Correct answer

B. ( I I 4 )

Step-by-step solution

Given that, ( ₀^ / 2 ⁷ x ⁷ x+ ⁷ x d x ) ( = ₀^ / 2 ⁷ x ⁷ ( 2 -x )+ ⁷ x d x ) Since ( ₀⁴ f(x) f(x f(a-x)) d x= a 2 . ) So, ( ₀^ / 2 ⁷ x ⁷ x+ ⁷ x d x= 4 )

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