VMLC

Approximating Definite Integrals with Riemann Sums in Python

Using Python to approximate a definite integral using left endpoint Riemann sums

Definite IntegralExponential FunctionLeft EndpointsPythonRiemann Sum

Using Python to identify the region between curves and then evaluate the area of the region

Area Between CurvesDefinite IntegralEllipsePython

Using Python to calculate the amount of work done in moving a spring using Hooke's Law

Definite IntegralForceHooke's LawPythonWork

Using Python to calculate the work done in pumping the liquid from a tank whose ends are semicircles

Definite IntegralPythonTankWork

Creating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

FactoringPolynomialPythonRational Function

Solving definite and indefinite integrals in Python

Definite IntegralIndefinite IntegralIntegralPython

Using Python to find the absolute maximum and minimum of a function on a closed interval

Absolute MaximumAbsolute MinimumCritical ValuePython

Using Python to find the equation of the tangent line to a curve and graphing the result

DerivativeGraphPoint-Slope FormPythonSlopeTangent Line

Finding derivatives in Python and solving for the rate of change of a force

DerivativeForceInstantaneous Rate of ChangePython