Question

int_{}^{?}e ^{4t}sin3t

Answer 1

integrate \[\int\limits_{}^{?}e ^{4t}\sin3t\]

Answer 2

\[\int\limits e ^{4t} \sin3t dt ?\]

Answer 3

can be solved by integration by parts

Answer 4

\[e ^{4t} -\cos3t/3 -\int\limits -\cos3t/3.e ^{4t} 4 dt\]

Answer 5

\[\cos3t.e ^{4t} /3 +(4/3)\int\limits e ^{4t} \cos 3t d t\]

Answer 6

oh i missed the negative sign
-(cos3t.e4t)/3+(4/3)∫e4tcos3tdt

Answer 7

http://www4b.wolframalpha.com/Calculate/MSP/MSP83019fa6285i4cd13cc00000i925hf14gcg7f17?MSPStoreType=image/gif&s=7&w=496&h=196

Answer 8

yea its by using the formula

Answer 9

Yeah, 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.