What are the limits for the integral of sin(x) * sin(x^2)?

[LordVader88]

I've never cracked this 1 yet, and I don't remember if it's domain was [0,1] or [0,∞), pretty sure it was 1 of the 2, and not anything with -∞ or ∏/2 for example

∫[sinx * sin(x^2)]dx

 

[Simon Bridge]

Was there a question in there?

What have you tried?
Where are you getting stuck?

Meantime: perhaps these will help:
How to find Domain and Range
Integrate[Sin[x]*Sin[x^2], x]

 

[lurflurf]

sin(x)* sin(x^2)=[sin((x-1/2)^2)-sin((x+1/2)^2)]sin(1/4)/2+[cos((x-1/2)^2)-cos((x+1/2)^2)]cos(1/4)/2

Your integral is then easily expressed in terms ofFresnel integrals. As far as what limits make the answer tidy, probably none.