Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

j814wong

  • 2 years ago

Integral Question

  • This Question is Open
  1. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits_{0}^{4} \frac{ dx }{ (x-2)^{2/3} }\]

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

    You ARE going to have to cut it up at x = 2 and consider convergence on both sides.

  3. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Split it and take limit approaching 2 from left and right?

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

    \[\int_0^4\frac{dx}{(x-2)^{\frac{2}{3}}}=\int_0^2\frac{dx}{(x-2)^{\frac{2}{3}}}+\int_2^4\frac{dx}{(x-2)^{\frac{2}{3}}}\] The integrand is undefined at x = 2, so you'll have to split up the integrals and take limits.

  5. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How do I take the integral of [1/(x-2)]^(2/3)

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

    Simple exponent. \(\int [1/(x-2)]^{2/3}\;dx = \int [x-2]^{-2/3}\;dx = \dfrac{(x-2)^{1/3}}{1/3} + C\)

  7. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Gah... How did I miss that. Thanks.

  8. 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.