Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

artofspeed

  • 2 years ago

integral: are these two expressions equal?

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

    \[\int\limits_{0}^{a}f(a-x)dx = \int\limits_{}^{}f(0)dx-\int\limits_{}^{}f(a)dx = \int\limits_{a}^{0}f(x)dx\]

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

    You can check this on example. Try \(f(x)=x^2, a=1.\)

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

    It will more easy if you take \(f(x)=1\).

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

    so it this whole expression correct?

  5. sirm3d
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    only the first and last expressions can be equated.

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

    actually, the first and last aren't equal. But what's wrong in the expression?

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

    \[\int\limits_{0}^{a}f(a-x)dx \ne \int\limits_{}^{}f(0)dx-\int\limits_{}^{}f(a)dx = \int\limits_{a}^{0}f(x)dx\]The primitive of \(f(a-x)\) is \(-\int f(a-x)dx\) and not \(\int f(a-x)dx\). You can check this by taking derivative. Now, I think you can answer your question by yourself.

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

    • Attachments:

Ask your own question

Sign Up
Find 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
  • 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.