Evaluate: ∫ [√(x^2+2x +3)^-1] dx, x ∈ [0, 4]

Question

Evaluate:

\(\int_0^{4} [\sqrt{x^2+2x+3}]^{-1} dx\)

∫ [√(x²+2x +3)^-1] dx, x ∈ [0, 4]

Answer 1

Let \(I\) = \(\int_0^{4} [\sqrt{x^2+2x+3}]^{-1} dx\)