Evaluate ∫x/√(x+a)+√(x+b)dx?

Question

Evaluate \(\int\frac{x}{\sqrt{x+a}+\sqrt{x+b}}dx\)?

Answer 1

I =\(\int\frac{x}{\sqrt{x+a}+\sqrt{x+b}}\) \(\times\frac{\sqrt{x+a}-\sqrt{x+b}}{\sqrt{x+a}-\sqrt{x+b}}dx\)