This video looks at evaluating the definite integral set up using the shell method.
This video looks at evaluating integral set up in the last video using washer method.
This video looks at showing that we didn't need to use stokes' Theorem to evaluate this line integral.
This video looks at Finishing up the line integral with a little trigonometric integration.
This video looks at evaluating simple definite integral.
This 10-minute video lesson provides even more examples using the chain rule.
This 11-minute video lesson provides an example of calculating a surface integral (part 1).
This 10-minute video lesson provides an example of calculating a surface integral (part 2).
This 10-minute video lesson provides an example of calculating a surface integral (part 3).
This 11-minute video lesson provides an example of taking a closed line integral of a conservative field.
This video looks at the expression for combined area of triangle and square.
This 23-minute video looks at a difficult but interesting derivative word problem
This video looks at Falling ladder related rates.
This video looks at Finding slope of tangent line with implicit differentiation.
You get the general idea that taking a definite integral of a function is related to evaluating the antiderivative, but where did this connection come from. This tutorial focuses on the fundamental theorem of calculus which ties the ideas of integration and differentiation together. We'll explain what it is, give a proof and then show examples of taking derivatives of integrals where the Fundamental Theorem is directly applicable.
This 7-minute video lessonn looks at approximating a function around a non-zero x value
This video looks at Generalizing what we did in the last video for f(x) to get the "formula" for using the disc method around the x-axis.
This video looks at Generalizing a left Riemann sum with equally spaced rectangles.
This video looks at Looking at the example from the last video in a more generalized way.
This 10-minute video lesson provides an introduction to the gradient.