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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. Application of Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 __________________________ Arc Length Problems: https://www.youtube.com/watch?v=DNDAwWIL5FY Surface Area Problems: https://www.youtube.com/watch?v=lQM-0Nqs9Pg Work Problems - Calculus: https://www.youtube.com/watch?v=TLw8xbmnY3c Integration By Parts: https://www.youtube.com/watch?v=sWSLLO3DS1I Tabular Method: https://www.youtube.com/watch?v=Yyic5aaXGaw _______________________________ Trigonometric Integrals: https://www.youtube.com/watch?v=3pXALn2ovIE Trigonometric Substitution: https://www.youtube.com/watch?v=ocgjfF2AboA Integration By Partial Fractions: https://www.youtube.com/watch?v=6rXByMcuAyI Trapezoidal Rule: https://www.youtube.com/watch?v=Rn9Gr52zhrY Simpson's Rule: https://www.youtube.com/watch?v=7EqRRuh-5Lk ________________________________ Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0 Integration Into Inverse Trig: https://www.youtube.com/watch?v=AE-0gXXx_j0 Integration of Rational Functions: https://www.youtube.com/watch?v=4yJmhZBB40w Integral of Logarithmic Functions: https://www.youtube.com/watch?v=nrt37LoaSxM Integrating Exponential Functions: https://www.youtube.com/watch?v=D9dqdbCgJQM __________________________________ Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections
