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AP EAMCET2003MathematicsDefinite Integration

₀^3 3 x+1 x^2+9 d x is equal to :

Options

  1. A(2 2 )+ 12
  2. B(2 2 )+ 2
  3. C(2 2 )+ 6
  4. D(2( 2 )+ 3 .

Correct answer

A. (2 2 )+ 12

Step-by-step solution

= 3 2 [ (x^2+9 ) ]₀^3+ 1 3 [ ⁻¹ x 3 ]₀^3= 3 2 [ 18- 9]+ 1 3 [ ⁻¹(1)- ⁻¹(0) ]= 3 2 [ 2]+ 12 = (2 2 )+ 12

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