A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

How to integrate 3^(x+3^x)

  • This Question is Closed
  1. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Try U-sub

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay sure

  3. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    splitting it up first might help 3^(x+3^x) = 3^x * 3^(3^x) = 3^x * 3^(3x)

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So the integral of 3^x is 3^x / ln(3)

  5. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \[\int\limits 3^{x+3^x}dx = \int\limits 3^x \times 3^{3^x} dx\] Let \[u=3^x \\ \\ du=3^xln(3)dx\] \[\int\limits 3^u\frac{1}{\ln(3)}du\]

  6. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Continue

  7. rational
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @welshfella \[\large 3^{(3^x)}~~ \ne~~ 3^{3x}\] right

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh yes! I got it! The answer is 3^(3^x) / (ln(3))^2 + C

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So when I look at these types of problems I should look at splitting up the problem and if I can u-sub something. Thanks

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you everyone~

  11. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Yes always think of U-sub first, then followed by other methods if you can't U-sub

  12. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @rational - right!

  13. 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.