Elvaluate ₀^ / 2 x 1+ ² x d x

Step-by-step solution

Let I = ₀^ / 2 x 1+ ² x dx Let x = t and - x d x = dt Now, x =0 t = 0=1 and x = 2 t = 2 =0 I = ₁⁰ x 1+ t ² ( - dt x )=- ₁⁰ dt 1+ t ² = [ ⁻¹ t ]₁⁰=- [0- 4 ]= 4