## anonymous 3 years ago Help with following integral

1. anonymous

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

2. anonymous

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

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

4. anonymous

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

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

6. anonymous

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

e^u not e^2u now, subtitute back that u = sint so, it is [e^(sint)]

8. anonymous

Thank you :)

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

10. anonymous

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!

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