integration using substitution

Question

If you wanted to transform the antiderivative

∫(x + 1)√x + 2 dx

Use this choice to transform the problem. Write your answer in terms of u:

∫________________

Answer 1

Let u = x+2. Then x = u-2 so x + 1 = u - 1) and du = dx

So, the given integral is equivalent to ∫(u-1)√udu