Question

hey how to do integraTion by parts . im too confused

Answer 1

\[\int\limits_{}^{}udv = uv - \int\limits_{}^{}vdu\]

Answer 2

Do you recall this equation?

Answer 3

int xcos(x) dx

Answer 4

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

Answer 5

Differentiate x and integrate cosx.

Answer 6

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

Answer 7

Of course with chain rule.

Answer 8

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

Answer 9

Correct.

Answer 10

Anything else?