Results 1 to 5 of 5

Math Help - Find the intergral of sine function

  1. #1
    Newbie
    Joined
    Aug 2009
    Posts
    3

    Find the intergral of sine function

    Integrate y=2sin(1/2.546x)+4 between x=0 and x=8
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member eXist's Avatar
    Joined
    Aug 2009
    Posts
    157
    Does the problem look like this:
    y = sin\bigg(\frac{1}{2.546}x\bigg) + 4
    Or this:
    y = sin\bigg(\frac{1}{2.546x}\bigg) + 4
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2009
    Posts
    3
    <br /> <br />
y = sin\bigg(\frac{1}{2.546}x\bigg) + 4<br />
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member eXist's Avatar
    Joined
    Aug 2009
    Posts
    157
    Ok that makes it much easier .

    Try u substitution where u = \frac{1}{2.546}x
    and that makes du = \frac{1}{2.546}dx

    From there we get:

    y = \int_0^8 \big(2sin\big(u\big)2.546 + 4\big) \, du

     = \int_0^8 \big(2sin\big(u\big)2.546 \,du + \int_0^8 \big(4\big)\,dx
     = -5.092cos\big(\frac{1}{2.546}x\big) + 4x where x is between 0 and 8

    You got the rest ?
    Last edited by mr fantastic; August 26th 2009 at 04:28 AM. Reason: Fixed the substitution (latex typo) and added a du to an integral
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Aug 2009
    Posts
    3
    haha words cannot describe how thankful i am.
    Perfect answer. Your my idol
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Find sine function through two points.
    Posted in the Trigonometry Forum
    Replies: 6
    Last Post: May 17th 2011, 08:06 PM
  2. Intergral- Max and min of function problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 14th 2010, 03:37 PM
  3. Replies: 2
    Last Post: October 20th 2010, 12:57 AM
  4. Find the indicated intergral
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 9th 2010, 01:56 PM
  5. Replies: 2
    Last Post: March 3rd 2009, 10:24 AM

Search Tags


/mathhelpforum @mathhelpforum