Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

grobles27

  • 2 years ago

Integrate (e^2x)/(e^x-3) times dx

  • This Question is Closed
  1. DHASHNI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1363307046027:dw|

  2. DHASHNI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    let us consider e^x = t => st = e^x dx

  3. DHASHNI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1363307129744:dw|

  4. DHASHNI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1363307205619:dw|

  5. DHASHNI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1363307271643:dw|

  6. wio
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's a simple \(u=e^x-3,\, du=e^xdx\) substitution.\[ \int \frac{e^{2x}}{e^x-3}dx = \int\frac{u+3}{u}du = \int 1 + \frac{3}{u}du \]

  7. tkhunny
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Note: It's not "times" dx. There is no multiplication, there.

  8. grobles27
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh that's true. So which one of the answers is the correct way to solve then? Integration is a real struggle for me

  9. tkhunny
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Well, you are supposed to be learning. A bit of difficulty should not be construed as a bad sign. Put in the time and thought. Looks like wio and DHASHNI already did most of the work for you. You do the rest.

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.