# Integrate that by parts for integral

1. May 3, 2008

### fiziksfun

i need help taking this integral

$$\int$$ 9sin$$\sqrt{t+1}$$

help please!!!! i dont even know where to start :[

2. May 3, 2008

### HallsofIvy

Staff Emeritus
First write it correctly:
$$\int 9 sin(\sqrt{t+1}) dt$$

Make the obvious substitution $u= \sqrt{t+1}= (t+1)^{1/2}$ so that $du= (1/2)(t+1)^{-1/2}dt$ or 2udu= dt.
(Equivalently, u2= t+ 1.)

$$9\int u sin(u)du$$