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.
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• Arc Length Calculus Problems,
Surface Area Problems:
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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 Diver...
Integration Into Inverse Trig:
• Integration into Inverse trigonometric fun...
Integration of Rational Functions:
• Integration of Rational Functions into Log...
Integral of Logarithmic Functions:
• Integral of Logarithmic Functions | Calculus
Integrating Exponential Functions:
• Integrating Exponential Functions By Subst...
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