MarcLeclair
Help with following integral
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MarcLeclair
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\[\int\limits_{0}^{\pi/2} e ^{sint}cost dt\]
MarcLeclair
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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
RadEn
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use integral by u-sub
let u = sint
du = cost dt
MarcLeclair
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but then I get stuck with \[e ^{u}\] wouldn't that require integration by part?
RadEn
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just still it self
int e^u = e^u
MarcLeclair
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Oh only e^2u would require by part? ( question by curiosity)
RadEn
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e^u not e^2u
now, subtitute back that u = sint
so, it is [e^(sint)]
MarcLeclair
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Thank you :)
RadEn
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the rest is calculation difference of limits, can u ?
you're welcome :)
MarcLeclair
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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!
RadEn
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|dw:1366095285032:dw|
RadEn
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that's the last answer