This 19-minute video lesson provides part 2 of the proof of Green's Theorem.
This video looks at seeing that Green's Theorem is just a special case of stokes' Theorem.
This video looks at identifying minima and maxima for x^3 - 12x - 5.
This video looks at the implicit derivative of e^(xy^2) = x - y.
This video looks at the implicit derivative of y = cos(5x - 3y).
This video looks at the implicit derivative of (x^2+y^2)^3 = 5x^2y^2.
This video looks at the implicit derivative of (x-y)^2 = x + y + 1.
Like people, mathematical relations are not always explicit about their intentions. In this tutorial, we'll be able to take the derivative of one variable with respect to another even when they are implicitly defined (like "x^2 + y^2 = 1").
This video looks at the improper integral with two infinite bounds.
This video looks at the indefinite integrals of x raised to a power.
This video covers inflection points.
This video covers integral of ln x.
This 8-minute video lessons gives an example of using trig substitution to solve an indefinite integral.
This 8-minute video lesson looks at another example of finding an anti-derivative using trigonometric substitution.
This 18-minute video lesson shows an example using trig substitution (and trig identities) to solve an integral.
This video looks at the integration by parts twice for antiderivative of (x^2)(e^x).
This video looks at the integration by parts of (e^x)(cos x).
This 9-minute video lesson demonstrates how to use the definite integral to solve for the area under a curve. It also provides intuition on why the antiderivative is the same thing as the area under a curve.
Not everything (or everyone) should or could be proper all the time. Same is true for definite integrals. In this tutorial, we'll look at improper integrals--ones where one or both bounds are at infinity! Mind blowing!
This 9-minute video lesson provides an introduction to L'Hopital's Rule. [Calculus playlist: Lesson 36 of 156]