A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Estimate the area under the curve cos sqrt x for 0=<x=<2 . Give your answer accurate to 2 significant figures.

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

    Definite Integrals? Any help..im stuck

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

    Use trapezoidal rule. If you look at a plot of your function, you'll see that it falls roughly linearly from 0 to 2.

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

    The answer with trap. rule would be about 1.156

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

    the problem is we havnt got to trapeziod rule

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

    Not sure why it's asking you to estimate when you can solve it exactly with a u sub then by parts.

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

    \[\int\limits_{a}^{b} f(x)dx \approx (b-a)\frac{f(a)+f(b)}{2}\]

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

    Well then you have to estimate with rectangles.

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

    http://www.wolframalpha.com/input/?i=integral+cos%28sqrt%28x%29%29+from+x%3D0..2

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

    You should know that the area of a trapezoid is \[\frac{1}{2}(a+b)h\]where a and b are the 'top' and 'bottom' and h is the altitude (or height). Here, a=f(0), b=f(2) and the height is (b-a)=2

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

    It's okay to apply this formula.

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

    thanks guys

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

    np

  13. 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.