## anonymous 5 years ago hey how to do integraTion by parts . im too confused

1. anonymous

$\int\limits_{}^{}udv = uv - \int\limits_{}^{}vdu$

2. anonymous

Do you recall this equation?

3. anonymous

int xcos(x) dx

4. anonymous

it doesnt have any limits is it like we have to go with ILATE =integer log arithemtic trigo and then exponential im confused that wich one is suposed to be integrated or differentiated first

5. anonymous

Differentiate x and integrate cosx.

6. anonymous

Because x will differentiate to 1 and cosx will just alternate between sinx and back and forth.

7. anonymous

Of course with chain rule.

8. anonymous

x cos(x) dx solution is : int x cos(x) dx = x sin(x)−int sin(x) dx = x sin(x)+cos(x)+c.

9. anonymous

Correct.

10. anonymous

Anything else?