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MHT CET202012 Oct 2020Morning ShiftMathematicsIndefinite IntegrationActual

₀^ d x (x²+4 ) (x²+9 ) =

Options

  1. A120
  2. B60
  3. C80
  4. D- 60

Correct answer

B. 60

Step-by-step solution

Let x²=t aligned & 1 (x²+4 ) (x²+9 ) = 1 (t+4)(t+9) and let 1 (t+4)(t+9) = 1 5 [ 1 t+4 - 1 t+9 ] I &= 1 5 ₀^ [ 1 x²+4 - 1 x²+9 ] dx &= 1 5 [ 1 2 ⁻¹ ( x 2 ) ]₀^ - [ 1 3 ⁻¹ ( x 3 ) ]₀^ &= 1 5 1 2 2 - 1 3 2 = 10 1 2 - 1 3 = 60 aligned

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