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MarcLeclair

  • 3 years ago

Help with following integral

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  1. MarcLeclair
    • 3 years ago
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    \[\int\limits_{0}^{\pi/2} e ^{sint}cost dt\]

  2. MarcLeclair
    • 3 years ago
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    sin t* I can't seem to figure out what to use. everytime I get e I get lost x.x

  3. RadEn
    • 3 years ago
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    use integral by u-sub let u = sint du = cost dt

  4. MarcLeclair
    • 3 years ago
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    but then I get stuck with \[e ^{u}\] wouldn't that require integration by part?

  5. RadEn
    • 3 years ago
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    just still it self int e^u = e^u

  6. MarcLeclair
    • 3 years ago
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    Oh only e^2u would require by part? ( question by curiosity)

  7. RadEn
    • 3 years ago
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    e^u not e^2u now, subtitute back that u = sint so, it is [e^(sint)]

  8. MarcLeclair
    • 3 years ago
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    Thank you :)

  9. RadEn
    • 3 years ago
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    the rest is calculation difference of limits, can u ? you're welcome :)

  10. MarcLeclair
    • 3 years ago
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    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
    • 3 years ago
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    |dw:1366095285032:dw|

  12. RadEn
    • 3 years ago
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    that's the last answer

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