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• Area between curves

  • Area between curves

  • Area between upper and lower curves

  • Area between left and right curves

  • Sketching area between curves

  • Dividing the area between curves into equal parts

• Arc length

  • Arc length of a curve y=f(x)

  • Arc length of a curve x=g(y)

  • Arc length using Simpson's rule

• Average value

  • Average value

  • Mean value theorem for integrals

• Surface area of revolution

  • Surface area of revolution

  • Surface area of revolution using Simpson's rule

  • Surface of revolution equation

• Volume of revolution

  • Disks with vertical and horizontal axes of revolution

  • Disks, volume of the frustum

  • Washers with vertical and horizontal axes of revolution

  • Cylindrical shells with vertical and horizontal axes of revolution

• Work

  • Work done to lift a mass or weight

  • Work done on elastic springs

  • Work done to empty a tank

  • Work done by a variable force

• Physics

  • Moments of the system

  • Center of mass of the system

  • Hydrostatic pressure and hydrostatic force

  • Vertical motion

  • Rectilinear motion

• Geometry

  • Centroids of plane regions

  • Centroids of plane regions using Simpson's rule

  • Area of the triangle with the given vertices

• Economics

  • Present value and future value

  • Single deposit, compounded n times

  • Single deposit, compounded continuously

  • Income stream, compounded continuously

  • Consumer surplus and producer surplus

• Probability

  • Probability density

• Biology

  • Cardiac output

  • Cardiac output using Simpson's rule

  • Poiseuille's law

  • Theorem of Pappus

.04

By signing up for the Applications of Integrals course, you'll gain access to:

• Step-by-step videos

• Course notes and flashcards

• Practice quizzes

• Bonus practice workbooks

• Comprehensive formula sheets

• Summary study sheets

• Practice final exams

We’ve got this. 👊