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anonymous
 5 years ago
int_{}^{?}e ^{4t}sin3t
anonymous
 5 years ago
int_{}^{?}e ^{4t}sin3t

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0integrate \[\int\limits_{}^{?}e ^{4t}\sin3t\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits e ^{4t} \sin3t dt ?\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can be solved by integration by parts

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[e ^{4t} \cos3t/3 \int\limits \cos3t/3.e ^{4t} 4 dt\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\cos3t.e ^{4t} /3 +(4/3)\int\limits e ^{4t} \cos 3t d t\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh i missed the negative sign (cos3t.e4t)/3+(4/3)∫e4tcos3tdt

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yea its by using the formula

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah, you will never finish integrating but you will get a multiple of the original integral eventually...so you move it to the other side of the equation and combine with the original integral and, shazam!, you are done.
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