Question

Need help with question 16

Answer 1

C)

Explanation:

u = x + 1

u - 1 = x

`\int\limits {(x)/(√(x+1))} \, dx = \int\limits {(u-1)/(√(u))} \, du \\\\`

`=\int {\left(\frac{u}{u^{(1)/(2)}}-\frac{1}{u^{(1)/(2)}} \right )\, du \\\\ = \int {u^{1-(1)/(2)}-1*u^{(-1)/(2)}} \, du\\\\ =\int {(u^{(1)/(2)}-u^{(-1)/(2)})} \, du`