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Manipal MET2017MathematicsDefinite Integration

₀^1 d d x [ ⁻¹ ( 2 x 1+x^2 ) ] d x is equal to

Options

  1. A0
  2. B2
  3. C4

Correct answer

C. 4

Step-by-step solution

Let I= ₀^1 d d x [ ⁻¹ ( 2 x 1+x^2 ) ] d x aligned I & = ₀^1 d d x [ ⁻¹( 2 ) ] d x ( put x= ) & =2 ₀^1 d d x [ ⁻¹ x ] d x & =2 [ ⁻¹(1)- ⁻¹(0) ] & =2 4 = 2 aligned

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