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MHT CET202015 Oct 2020Evening ShiftMathematicsDefinite IntegrationActual

₀⁵ d x x²+2 x+10 =

Options

  1. A6
  2. B12
  3. C3
  4. D4

Correct answer

B. 12

Step-by-step solution

aligned I &= ₀⁵ d x x²+2 x+10 = ₀⁵ d x (x+1)²+(3)² &= 1 3 [ ⁻¹ x+1 3 ]₀⁵= 1 3 [ ⁻¹ 2- ⁻¹ 1 3 ] &= 1 3 [ ⁻¹ [ 2- 1 3 1+ 2 3 ] ]= 1 3 ⁻¹(1) &= 1 3 4 = 12 aligned

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