This video explains how to manipulate 1/(1-x) to determine the geometric power series around x = 2.
calculus
Related Rates: Find the Rate of Change in the Water Height as it Drains from a Right Circular Cone
This video explains how to determine the rate of change of the height of water draining from a funnel in the shape of a right circular cone.
Mean Value Theorem: Find the Mean Slope and c Values Such That f'(c) = Mean Slope (Cubic)
This video explains how to apply the Mean Value Theorem to a cubic function.
Definite Integral with Discontinuity and U-substitution a/(x-b)^2
This video explains how to evaluate an improper integral due to function discontinuity in the interval of integration.
Improper Integral with Substitution: (5x)/e^(x^2)
This video explains how to evaluate an improper integral and determine if the integral is convergent or divergent.
Improper Integral with Substitution: e^(-sqrt(x))/sqrt(x)
This video explains how to evaluate an improper integral and determine if the integral is convergent or divergent.
Improper Integral: (5ln x)/x
This video explains how to evaluate an improper integral and determine if the integral is convergent or divergent.
Definite Integration Using Integration by Parts Twice: (ln x)^2/x^3 (with chain rule)
This video explains how to evaluate a definite integral using integration by parts with the chain rule.
Definite Integration Using Integration by Parts: axe^(bx) (with chain rule)
This video explains how to evaluate a definite integral using integration by parts with the chain rule.
Average Value of a Quadratic Function Over a Closed Interval: ax-x^2
This video explains how to determine the average value of a function over a closed interval.