In this experiment, a capacitor was charged to its full capacitance then discharged through a resistor. By timing how long it took the capacitor to fully discharge through the resistor, we can determine the RC time constant using calculus.
"Calculating the Time Constant of an RC Circuit,"
Undergraduate Journal of Mathematical Modeling: One + Two:
2, Article 3.
DOI: http://dx.doi.org/10.5038/2326-36184.108.40.206 Available at: http://scholarcommons.usf.edu/ujmm/vol2/iss2/3
Arcadii Grinshpan, Mathematics and Statistics
Gerald Woods, Physics