anonymous
  • anonymous
How to integrate 3^(x+3^x)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
.Sam.
  • .Sam.
Try U-sub
anonymous
  • anonymous
Okay sure
welshfella
  • welshfella
splitting it up first might help 3^(x+3^x) = 3^x * 3^(3^x) = 3^x * 3^(3x)

Looking for something else?

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

More answers

anonymous
  • anonymous
So the integral of 3^x is 3^x / ln(3)
.Sam.
  • .Sam.
\[\int\limits 3^{x+3^x}dx = \int\limits 3^x \times 3^{3^x} dx\] Let \[u=3^x \\ \\ du=3^xln(3)dx\] \[\int\limits 3^u\frac{1}{\ln(3)}du\]
.Sam.
  • .Sam.
Continue
rational
  • rational
@welshfella \[\large 3^{(3^x)}~~ \ne~~ 3^{3x}\] right
anonymous
  • anonymous
Oh yes! I got it! The answer is 3^(3^x) / (ln(3))^2 + C
anonymous
  • anonymous
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
anonymous
  • anonymous
Thank you everyone~
.Sam.
  • .Sam.
Yes always think of U-sub first, then followed by other methods if you can't U-sub
welshfella
  • welshfella
@rational - right!

Looking for something else?

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