My brain has apparently turned to mush since last summer.

$\displaystyle \int{(3t+5)cos(t/4)}dt$

I took...

$\displaystyle

u=3t+5

$

and...

$\displaystyle

dv=cos(t/4)

$

I need help going from there to...

$\displaystyle

du=

$

and

$\displaystyle

v=

$

the tutorial I'm using skips the intervening steps and just gives me v and du. I want to understand the underlying process. Acctual steps to get to du and v would be greatly appreciated. Thanks anyone and everyone