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In any case, it's not enough to know only the side; you also need the angle of inclination.

If we know the canonical equation of a line, then we have the tangent of the angle of inclination.

Compare which is greater:
1) the integral from [0;1] of x^x
2) the integral over [0;1]*[0;1] of (xy)^(xy). The integral here is double, over a square.

Maybe I'm missing something, but in the first case, the integral is single, and in the second, it's double. It seems incorrect to compare length and area. Or did I misunderstand the condition?