Question

How do I find the integral of (x^2+x+sqrt(x+1))/(x+1) dx

Answer 1

A substitution hint would be maybe enough.

Answer 2

\[\int\limits_{}^{}\frac{x(x+1)+\sqrt{x+1}}{\sqrt{x+1}} dx \]
is that right ?

Answer 3

try the sub u=sqrt(x+1)
u^2=x+1
2udu=dx

Answer 4

\[\int\frac{x^2+x+\sqrt{x+1}}{x+1}~dx=\int x~dx+\int(x+1)^{-1/2}~dx\]

Answer 5

Thanks both!