Somedays ago i came across the question to integrate the function ∫sec(√(x))dx I checked it up by drawing the graph of the function my question is that can we check the integrability of the function without using the garphical method
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The function is not integrable on any region containing any of the points $\left(\pm \frac{\pi}2 + 2\pi n \right)^2$. – Patrick Stevens Mar 10 '17 at 07:34