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## MarcLeclair 2 years ago Help with following integral

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1. MarcLeclair

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

2. MarcLeclair

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

3. RadEn

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

4. MarcLeclair

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

5. RadEn

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

6. MarcLeclair

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

7. RadEn

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

8. MarcLeclair

Thank you :)

9. RadEn

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

10. MarcLeclair

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!

11. RadEn

|dw:1366095285032:dw|

12. RadEn

that's the last answer

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