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AP EAMCET20225 Jul 2022Evening ShiftMathematicsDefinite IntegrationActual

₀^4 x+2 4 x-x^2 d x=

Options

  1. A2
  2. B4
  3. C/ 2

Correct answer

B. 4

Step-by-step solution

x+2 4 x-x^2 d x= (x-2)+4 4-(x-2)^2 d x (x-2) 4-(x-2)^2 d x+4 1 4-(x-2)^2 d x 4 x-x^2 +4 ⁻¹ ( x-2 2 )+c . 4 x-x^2 -4 ⁻¹ ( x-2 2 ) ]₀^4 0+4 ⁻¹(1)-0-4 ⁻¹(-1) 4 2 + 4 2 =4

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