I need to calculate the following integral; $$\int\limits_0^{∞} \frac{\sin(x^2)}{x}\,\text{d}x$$
But, I don't really have any ideas. Maybe using a new variable or integrating by parts would work. Can I get help?
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substitute $y=x^2?$ – Calvin Khor May 20 '22 at 04:53
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Hint Let $x=\sqrt t$ – Claude Leibovici May 20 '22 at 04:53
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1Yes, thank you so much – Luidzzhi May 20 '22 at 05:08