Integrate the following functions w.r.t. x : (x + 1) √(2x^2 + 3)

Question

Integrate the following functions w.r.t. x :

(x + 1) \(\sqrt{2x^2 + 3}\)

(x + 1) √(2x² + 3)

Answer 1

(x + 1) √(2x² + 3)

Comparing the coefficients of x and constant term on both the sides, we get

4A = 1, B = 1

∴ A = 1/4, B = 1

where c = c₁ + c₂.