# Browse Classroom Capsules and Notes

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Skirt integration by parts using a method of undetermined coefficients.

F is differentiable at a if and only if the difference quotient is uniformly continuous.

Payments on loans also generate continuous interest type problems.

A bothersome discrepency regarding arithmetic progressions is cleared up.

Inequalities by applying the mean value theorem to $$\ln x$$

A cantor-like procedure makes a table vanish by removing less than half of it.

Convergence of sequences approaching $$e$$, with no mention of $$\ln x$$

A general formula for that area of a parabola in terms of its parameters

This note links two previous papers on Mersenne primes and digital roots.

Finding the partial fraction expression