A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

How do I solve the integral of x(x-10)^10?

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

    do a substitution with u=10-x

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

    sorry kill that u=x-10 that should say

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

    du/dx = 1

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

    wait

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

    that wont work

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

    this isnt hard

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

    use binomial formula to expand (x-10)^10

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

    no i see the problem, yeah it seemed to easy

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

    integral x [ x^10 + 10 choose 1 x^9 (-1) + 10 choose 2 x^8 * (-1)^2 + ...

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

    make a pascal triangle

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

    here http://www.twiddla.com/491685

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

    online whiteboard

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

    i think you should be able to use the substitution u=x-10 du/dx = 1 so this is the integral of (u+10)u^10 which is simply u^11 +10u^10 so this gives soln (u^12)/12 +10(u^11)/11 and then put x back in for u

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

    oh

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

    You have to use a complex substitution: \[\int\limits_{}^{} x(x-10)^{10} dx\] u = x-10 x = u + 10, dx = 1 du Substitute and profit!

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

    how about integral x^2 (x-10)^10

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

    it doesn't have to be complex this problem is purely in the reals

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

    ac, right. i think he meant . wrong choice of words

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

    Oh, I meant complex as in 'difficult', lol.

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

    hehe

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

    i became both of you guys fans

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

    acland, it would be much tougher if you had to do integral x^10 (x-10)^10 dx

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

    then there is no avoiding pascal's beautiful triangle

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

    bad choice of words, you get to used to dealing with complex number systems all the time. For the x^2 one you should be able to use the same idea and have the integral of \[(u+10)^2+u^{10}\] yeah if it was x^10 then you would have to look at other ways of solving it

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

    u = x-10 du = dx u + 10 = x so int (u+10) u^10

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

    if it was x^10 i just wouldnt bother and would leave my final answer as an integral

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

    so int u^11 + 10 u^10

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

    i got a toughie

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

    A tract of land bordered by a highway along the y-axis, a dirt road along the x-axis, and a river whose path is given by the equation y=4-0.2x^2, where x and y are in hindreds of meters. The tract is 300m deep along the dirt road The value of the land is constant in any strip parallel to the highway and increases as you move way from the highway, with the value given by v=1000+50x dollars per 10,000 m^2 at the sample point (x,y). Find dW, the worth of a strip. Write an integral that equals the worth of the entire tract.

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

    i thought about using a double integral

  31. 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.