Integrating H(t-pi/2)*sin(2t)

  • #1

Homework Statement



Integrate π H(t-π/2)*sin(2t)dt

Homework Equations



See above.

The Attempt at a Solution



I can rationalize the slightly simpler integral for the same limits of H(t)*sin(2t) as coming out to 0 due to the definition of the unit step function, but I'm wondering if the subtraction of π/2 changes it any. It's still integrating over the range of H(t), correct? So should it still work out to be 0?
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,833
956
[itex]H(t- \pi/2)[/itex] is equal to 0 for [itex]t< \pi/2[/itex], 1 for [itex]t\ge \pi/2[/itex]. So that integral is just
[tex]\int_{\pi/2}^\pi sin(2t)dt[/tex]
 
  • Like
Likes 1 person

Related Threads on Integrating H(t-pi/2)*sin(2t)

  • Last Post
Replies
3
Views
6K
  • Last Post
Replies
4
Views
5K
  • Last Post
Replies
5
Views
49K
Replies
4
Views
2K
  • Last Post
Replies
4
Views
9K
Replies
7
Views
3K
  • Last Post
Replies
9
Views
6K
Replies
1
Views
2K
  • Last Post
Replies
3
Views
24K
  • Last Post
Replies
6
Views
8K
Top