A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
How to integrate 3^(x+3^x)
anonymous
 one year ago
How to integrate 3^(x+3^x)

This Question is Closed

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1splitting it up first might help 3^(x+3^x) = 3^x * 3^(3^x) = 3^x * 3^(3x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the integral of 3^x is 3^x / ln(3)

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.3\[\int\limits 3^{x+3^x}dx = \int\limits 3^x \times 3^{3^x} dx\] Let \[u=3^x \\ \\ du=3^xln(3)dx\] \[\int\limits 3^u\frac{1}{\ln(3)}du\]

rational
 one year ago
Best ResponseYou've already chosen the best response.0@welshfella \[\large 3^{(3^x)}~~ \ne~~ 3^{3x}\] right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh yes! I got it! The answer is 3^(3^x) / (ln(3))^2 + C

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So when I look at these types of problems I should look at splitting up the problem and if I can usub something. Thanks

.Sam.
 one year ago
Best ResponseYou've already chosen the best response.3Yes always think of Usub first, then followed by other methods if you can't Usub
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.