- #1

Xetman

- 8

- 0

## Homework Statement

Integrate e

^{t}tdt using integration by parts.

**2. The attempt at a solution**

Seems like a very easy problem; however, I just started learning integration by parts-- didn't understand this.

So the book's method:

u=t dv=e

^{t}dt

du=dt v= e

^{t}

uv-∫vdu=te

^{t}-∫e

^{t}dt=te

^{t}-e

^{t}+C.My method:

u=e

^{t}dv=tdt

du=e

^{t}dt v=t

^{2}/2uv-∫vdu=e

^{t}t

^{2}/2-∫(t

^{2}/2)e

^{t}dt

My method seems wrong, so can anyone please answer me why my method won't work?

Is it just about assigning the correct values to the correct variables?