Question

integrate e^xcosx dx

Answer 1

\(\large \mathsf{\int_{}^{} (e^x)cosxdx}\) right?

Answer 2

yes

Answer 3

integration by parts..

Answer 4

^right

Answer 5

who's the fastest? bet's anyone?

Answer 6

integration by parts
integrate e^xcosx dx
=integrate cosx d e^x
=e^x cosx - integrate e^x d (cosx)
=e^x cosx + integrate e^x sinx dx
=e^x cos x + integrate sinx d e^x
=e^x cosx + e^x sinx -integrate e^x d sinx
=e^x cosx +e^x sinx -integrate e^x cosx dx
2 integrate e^x cosx dx = e^x cosx +e^x sinx
integrate e^x cosx dx =(e^x cosx +e^x sinx)/2 +C

Answer 7

\(\Large \color{red}{\mathcal{OIGU}}\) lol

Answer 8

LOL :D

Answer 9

seems that fame came @experimentX :P haha

Answer 10

By parts.


oops for got to divide by two.