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.

    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


    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)