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BITSAT2024MathematicsDefinite IntegrationActual

₀^ 2 ( 4 +x )+ ( 3 4 +x ) x+ x d x=

Options

  1. A2
  2. B2 2
  3. C3 2
  4. D4 2

Correct answer

B. 2 2

Step-by-step solution

Let I= ₀^ 2 ( 4 +x )+ ( 3 4 +x ) x+ x d x I= ₀^ / 2 ( 3 4 -x )+ ( 5 4 -x ) x+ x d x I= ₀^ / 2 ( 4 +x )- ( 3 4 +x ) x+ x d x Now I+I= ₀^ / 2 2 ( 4 +x ) x+ x d x I= ₀^ / 2 1 2 x+ 1 2 x x- x d x= 2 2

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