Cornell 7: What the Lawsuit Alleges and What the Record Show

Substituting a parabola into an ellipse gives a quartic, so the discriminant trick fails. Three derivations lead to the same polynomial in b, with two real roots.

Why 1/x fails as a counterexample, and which two functions give a finite answer from the antiderivative formula while still not being integrable.

The temptation to pursue passion projects outside your core PhD research is strong, especially when they offer potential career benefits. However, managing these ambitious side projects while maintaining focus on your doctoral studies presents a significant dilemma. The central question remains: should you disclose these unrelated endeavors to your academic advisor, and what are the potential repercussions of doing so, or of not doing so?