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KCET2016MathematicsDefinite Integration

( ₀^ 2 ¹⁰⁰⁰ x d x ¹⁰⁰⁰ x+ ¹⁰⁰⁰ x ) is equal to

Options

  1. A( 1000 )
  2. B( )
  3. C( 2 )
  4. D( 4 )

Correct answer

D. ( 4 )

Step-by-step solution

Given that ( I= ₀^ / 2 ¹⁰⁰⁰ x ¹⁰⁰⁰ x+ ¹⁰⁰⁰ x d x ) We know that ( ₀^ a f(x) f(x)+f(a-x) d x= a 2 ) here, ( a= I I 2 ) and ( f(x)= ¹⁰⁰⁰ x ) So, ( I= I I 4 )

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