You can try using integration by parts.Don't need to show me how to do the entire question if it's way too long. Suggestions are plenty
My starting point was just saying f(x) < integrand being 1/t instead of sint/t, but working backwards it just gave me
I'm getting O(x⁻¹)Don't need to show me how to do the entire question if it's way too long. Suggestions are plenty
My starting point was just saying f(x) < integrand being 1/t instead of sint/t, but working backwards it just gave me
They are both true, your statement is just weaker. IBP usually gains you stuff when you are analysing oscillatory expressions...if you just look at the size of things via absolute values, you ignore a lot of the "cancellation" that comes from the oscillation. IBP picks this up.I'm getting O(x⁻¹)
Differentiating under the integral sign yields:
Ignore sin x and integrate both sides to obtain an asymptotic...
This was in the final exam and I never figured it out.
with the hint x + y + z = (x+y)/2 + (x+z)/2 + (y+z)/2