Work Problems - Calculus

This calculus video tutorial explains how to solve work problems. It explains how to calculate the work required to lift an object against gravity or the work required to push a car with a constant force to a certain displacement. This video also explains how to calculate the work done by a variable using calculus. The definite integral of a force function with respect to x is equal to the work done. This lesson explains how to calculate the work required to pull a rope to the top of the building as well as the work done in pulling half of the rope to the top of the building. In addition, it explains how to calculate the work required to stretch a spring beyond its natural length using hooke's law and by calculating the value of the spring constant. Finally, this tutorial contains an example problem that explains how to calculate the work required to pump all of the water inside an inverted conical tank to the top of the tank. You need to know the density of water and the gravity acceleration for that problem.

Arc Length Problems:    • Arc Length Calculus Problems,  

Surface Area Problems:
   • Surface Area of Revolution By Integra...  

Work Problems - Calculus:
   • Work Problems - Calculus  

Integration By Parts:
   • Integration By Parts  

Tabular Method:
   • Integration By Parts - Tabular Method  

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Trigonometric Integrals:
   • Trigonometric Integrals  

Trigonometric Substitution:
   • Trigonometric Substitution  

Integration By Partial Fractions:
   • Integration By Partial Fractions  

Trapezoidal Rule:
   • Trapezoidal Rule  

Simpson's Rule:
   • Simpson's Rule & Numerical Integration  

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Improper Integrals:
   • Improper Integrals - Convergence and ...  

Integration Into Inverse Trig:
   • Integration into Inverse trigonometri...  

Integration of Rational Functions:
   • Integration of Rational Functions int...  

Integral of Logarithmic Functions:
   • Integral of Logarithmic Functions | C...  

Integrating Exponential Functions:
   • Integrating Exponential Functions By ...  

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