Homework Help: Integrating a function

1. Mar 4, 2010

blackbear

Can someone help solve these two equations:

1. T[Cos(t)] = ∫[Sin(t-x)Cos(t)]dx the limits are from 0 to 2pi

2. T[Sin(t)]=∫[Sin(t-x)Sin(t)]dx; the limits are from 0 to 2pi

Thanks

2. Mar 5, 2010

Staff: Mentor

What have you tried? You need to make a reasonable effort before we can provide any help.

3. Mar 5, 2010

Staff: Mentor

Per the PF rules, you need to show some effort at solving these problems before we can help you. But I'll offer a hint: If the integration is with respect to x (as indicated by the dx in each equation), then what can you do with the Sin(t) and Cos(t) terms in each equation?

4. Mar 5, 2010

blackbear

Well Sin(t) and Cos(t) is a constant; each of these terms will come outside the integration, if we x is the integrating variable.

Last edited: Mar 5, 2010
5. Mar 5, 2010

blackbear

I computed both the integration and getting "0" for both results!!!

6. Mar 5, 2010

Staff: Mentor

Probably related to integrating sinusoidal functions from 0 to 2*PI, eh?

7. Mar 5, 2010

blackbear

yes...the integrating result with 0 to pi gave me the "zero" results.

8. Mar 5, 2010

sEsposito

You really should post your attempted solution so that we can see what's plaguing you...

9. Mar 5, 2010

Staff: Mentor

No, you said 0 to 2*PI in your original post (OP) above.

10. Mar 5, 2010

blackbear

my mistake..my result came to be "0" for both the equations when the limits are from 0 to 2pi.

regards