1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Integration of Sin(x)

  1. Mar 5, 2016 #1
    Hi All,

    This is a very elementary question but, from calculus :

    ∫sinx dx from 0 to pi = 2, but i thought of it, in terms of the attached driagram.
    upload_2016-3-5_19-42-31.png

    And if we think of it, this way, the integration is the area of a half circle of radius one and is equal to Pi/2.

    Where did i go wrong ?
     
  2. jcsd
  3. Mar 5, 2016 #2

    blue_leaf77

    User Avatar
    Science Advisor
    Homework Helper

    No, it's not. Your mistake was to assume ##x## as the coordinate in the horizontal line, when it's actually the angle subtended between the line and the horizontal axis.
     
  4. Mar 5, 2016 #3
    You are right, thanks. the integration would be ∫(sinx)2 dx which is Pi/2.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Integration of Sin(x)
  1. Integration of sin(x) (Replies: 14)

  2. Sin x =cosh x (Replies: 12)

  3. Inverse of sin(x)+x (Replies: 10)

  4. Solving Sin(x)=0 (Replies: 3)

Loading...