anonymous
  • anonymous
evaluate the integral of e^(3x)cos(4x)dx
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
integration by parts where u=cos(4x) and dv=e^3x
anonymous
  • anonymous
\[\int\limits_{}^{}e ^{3x}(e ^{i4x}+e ^{-i4x})dx/2\]\[e ^{(3+4i)x}/(3+4i)+e ^{(3-4i)}/(3-4i)\]
anonymous
  • anonymous
or Euler's Identity which ever one comes easier to you..LOL

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
the expression will be divided by 2.
anonymous
  • anonymous
now you can just solve to get a ans.e^3x(3cos4x+4sin3c)/25+c where c is the integration constant.
anonymous
  • anonymous
\[\frac{1}{25} e^{3 x} (3 \text{Cos}[4 x]+4 \text{Sin}[4 x]) \]from Mathematica 8
anonymous
  • anonymous
wow, u are so smart, you can copy answers out of a software package :/
anonymous
  • anonymous
thank u :) u forgot the plus C robtobey
anonymous
  • anonymous
see these videos if you want. http://www.youtube.com/watch?v=-ikhaXsiJU8&feature=related http://www.youtube.com/watch?v=XO6b4zhZgOs&feature=related
anonymous
  • anonymous
to do it algebraically involves two steps of integration by parts
anonymous
  • anonymous
I think they most likely wanted it done algebraically
anonymous
  • anonymous
first video does it algebraically ( which is most likely the way they want you to do it

Looking for something else?

Not the answer you are looking for? Search for more explanations.