Parts 2b and 2c of the 2008 BC exam (free response)

Part 1d of the 2008 AP Calculus BC exam (free response)

Average value of a piecewise-defined function on an interval.

Part 1a of the 2008 BC free response.

Arc length for a curve.

Students are provided with an introduction to triple integrals by examing a volume problem.

Students explore a video about using a triple integral to find the mass of a volume of variable density.

Velocity and acceleration vectors for particle.

Parts b and c of problem 1 (free response)

2a of 2008 Calculus BC exam (free response)

Explore implicit differention through implicit derivatives.

This video tutorial uses U-substitution to find the anti-derivative of a function. Students see that U-substitution is the inverse of the chain rule.

This video tutorial provides a definition and intuition for type 3 regions in three dimensional space.

In this video lesson students explore antiderivatives by using integration by parts.

In this video lesson students use the antiderivative to find the natural log of x.

uThis video tutorial provides students with knowledge on using u-substitution and "back substituting" for x to simplify an expression with an indefinite integral.

In this video lesson students use integration by parts.

Take a deeper look into implicit differentation.

In this video lesson students take the antiderivative of a function.

In this video tutorial students explore using u-substitution with ln(x) to solve an indefinite integral.

Students watch a video tutorial about manipulating the an expression using u-substitution.

Students watch a video tutorial to learn about the divergence theorem.

Watch a video to explore an introduction to improper integrals.

This video tutorial shows an example where we do substitution twice to get the integral into a reasonable form.