Question

Help with following integral

Answer 1

\[\int\limits_{0}^{\pi/2} e ^{sint}cost dt\]

Answer 2

sin t* I can't seem to figure out what to use. everytime I get e I get lost x.x

Answer 3

use integral by u-sub
let u = sint
du = cost dt

Answer 4

but then I get stuck with \[e ^{u}\] wouldn't that require integration by part?

Answer 5

just still it self
int e^u = e^u

Answer 6

Oh only e^2u would require by part? ( question by curiosity)

Answer 7

e^u not e^2u
now, subtitute back that u = sint

so, it is [e^(sint)]

Answer 8

Thank you :)

Answer 9

the rest is calculation difference of limits, can u ?
you're welcome :)

Answer 10

Yeah I can I get confuse with e. I know sometimes it requires integration by part but this one was a simple case. Thanks a lot though helped me understand a bit more!