I need to show that integral of sin(x^2) from 1 to infinity converge

The only hint I have is "Let $\displaystyle y=x^2$". I did a change of variable at first and an integration by parts, but now I'm stuck. Does anyone can help me.

Thanks

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- Jul 12th 2011, 04:46 AMsolvjShow that Int(1,infinity,sin(x^2)) converges
I need to show that integral of sin(x^2) from 1 to infinity converge

The only hint I have is "Let $\displaystyle y=x^2$". I did a change of variable at first and an integration by parts, but now I'm stuck. Does anyone can help me.

Thanks - Jul 12th 2011, 05:45 AMFernandoRevillaRe: Show that Int(1,infinity,sin(x^2)) converges
- Jul 12th 2011, 09:59 AMsolvjRe: Show that Int(1,infinity,sin(x^2)) converges
Thank you, that completes my proof.