- #1

gennarakis

- 14

- 0

^{2}θ>=1/2 and <cos

^{2}θ>=1/2

How is the proof made?Integrate sin

^{2}θ from -Infinity to +Infinity?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter gennarakis
- Start date

- #1

gennarakis

- 14

- 0

How is the proof made?Integrate sin

- #2

berkeman

Mentor

- 63,258

- 14,218

^{2}θ>=1/2 and <cos^{2}θ>=1/2

How is the proof made?Integrate sin^{2}θ from -Infinity to +Infinity?

You only need to integrate over one cycle. Every other cycle will be the same, right?

- #3

gb7nash

Homework Helper

- 805

- 1

Average value on what interval?

- #4

gennarakis

- 14

- 0

I just integrated from 0 to 2Pi changed sin^{2}θ=(1-cos2θ)/2 but the result is Pi and not 1/2...

- #5

berkeman

Mentor

- 63,258

- 14,218

I just integrated from 0 to 2Pi changed sin^{2}θ=(1-cos2θ)/2 but the result is Pi and not 1/2...

You forgot to divide by 2*PI to get the average over the interval...

- #6

gennarakis

- 14

- 0

Thanks!!It was my first answer on PF and I have to say it was fast and easy...:)

Share:

- Replies
- 6

- Views
- 2K

- Replies
- 5

- Views
- 356

- Replies
- 11

- Views
- 447

- Replies
- 13

- Views
- 750

- Last Post

- Replies
- 3

- Views
- 380

- Last Post

- Replies
- 6

- Views
- 211

- Replies
- 7

- Views
- 790

- Replies
- 2

- Views
- 442

- Last Post

- Replies
- 25

- Views
- 494

- Replies
- 4

- Views
- 129