Master Volumes, Work, and Mass for Calculus 2 & AP Exam BC

Step-by-Step Applications of Integration for Area, Volume, Work, and Mass — Perfect for Calculus 2 & AP Calculus BS

What you'll learn
- Apply integration techniques to calculate area between curves.
- Compute volumes using disk, washer, and shell methods.
- Solve mass and work problems involving density and fluid force.
- Choose correct setup for applied Calculus 2 word problems.

Requirements
- A solid understanding of Calculus 1 topics, including limits, derivatives, and basic integration. Access to a calculator is helpful but not required. No prior experience with applied Calculus 2 problems is necessary — concepts will be explained step-by-step.

Description
Course Description: Master Area, Volumes, Work, and Mass for Calculus 2 & AP BC

Most students overcomplicate these applications of integration — not because they’re too hard, but because no one teaches asimple, repeatable approachthat actually sticks. This course fixes that.

You’ll learnexactly how to set up and solveproblems involving area between curves, volumes of revolution, work, and mass — using the same methods I’ve used to teachtens of thousandsof students at the university level and in private sessions worldwide. No fluff, no overproduced slides — juststraightforward whiteboard instructionand the unique techniques that made me the#1 ranked professor in Nevada on Rate My Professors for nine straight yearsand earned Woody Calculus a5-star Google rating.

You’ll master:

Area Between Curves– set up integrals for horizontal or vertical slices with confidence

Disks, Washers, and Shells– know instantly which method to choose and why

Work Problems– pumping liquids, lifting objects, and variable force scenarios

Mass & Density Applications– line, surface, and solid mass calculations

Recognizing problem structure so you don’t waste time on the wrong setup

This course is not about memorizing formulas — it’s about buildingreal understanding through repetition. The more you see and work through the basics, the more every advanced problem falls into place.

What you’ll get:

Proven step-by-step problem-solving strategies refined over 25+ years

Downloadable PDF notes for every lesson

Fully worked practice problems

Clear explanations that connect the “why” and the “how”

Confidence in tackling even the most intimidating application problems

Whether you’re learning this for the first time or coming back for review before a big exam, this course will give you the tools and strategies to master these topics for good.

These problems are based on the course curriculum for Colorado State University (CSU) and the University of Nevada (UNR).

Who this course is for:
- This course is designed for Calculus 2 students, AP Calculus BC exam takers, and self-learners who want to master applications of integration, including area, volume, work, and mass. It’s ideal for high school, college, and returning learners who need clear, step-by-step explanations and practical problem-solving strategies. Also valuable for STEM majors seeking a stronger foundation in applied integration techniques.
More Info