1. Intregration by parts

Can somebody ,show me how to work this out

f(t)= 1/10 te^0.1t

thanks if you can help

2. Originally Posted by Jaffa
Can somebody ,show me how to work this out

f(t)= 1/10 te^0.1t

thanks if you can help
$u = t$ ... $du = dt$

$dv = 0.1e^{0.1t}$ ... $v = e^{0.1t}$

$\int 0.1t \cdot e^{0.1t} \, dt = te^{0.1t} - \int e^{0.1t} \, dt$

can you finish?

3. Should it be =te^o.1t -e^0.1t/0.1
after this, if it is right ,I am lost, and what about the 1/10 at the start

4. Originally Posted by Jaffa
Should it be =te^o.1t -e^0.1t/0.1
after this, if it is right ,I am lost, and what about the 1/10 at the start
note that $\frac{1}{10} = 0.1$

$\int 0.1 t e^{0.1t} \, dt = te^{0.1t} - 10e^{0.1t} + C$