evaluate the integral of e^(3x)cos(4x)dx

Question

anonymous · Answer

integration by parts where u=cos(4x) and dv=e^3x

anonymous · Answer

$$\int\limits_{}^{}e ^{3x}(e ^{i4x}+e ^{-i4x})dx/2$$$$e ^{(3+4i)x}/(3+4i)+e ^{(3-4i)}/(3-4i)$$

anonymous · Answer

or Euler's Identity which ever one comes easier to you..LOL

anonymous · Answer

the expression will be divided by 2.

anonymous · Answer

now you can just solve to get a ans.e^3x(3cos4x+4sin3c)/25+c where c is the integration constant.

anonymous · Answer

$$\frac{1}{25} e^{3 x} (3 \text{Cos}[4 x]+4 \text{Sin}[4 x]) $$from Mathematica 8

anonymous · Answer

wow, u are so smart, you can copy answers out of a software package :/

anonymous · Answer

thank u :) u forgot the plus C  robtobey

anonymous · Answer

anonymous · Answer

to do it algebraically involves two steps of integration by parts

anonymous · Answer

I think they most likely wanted it done algebraically

anonymous · Answer

first video does it algebraically ( which is most likely the way they want you to do it