Lemma

Calculus · Chapter 11 of 16

Applications of integrals

6 curated · 181 from open sources · 16,530 generated

← Techniques of integrationImproper integrals →
AllEasyMediumDeep

From open sources

181

Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#TitleDifficulty
134234If ten equal forces … are alternately down and up at …Medium
134235The solar system has nine masses … at distances … with angular…Medium
134237A solid cylinder of radius … is assembled from hollow cylinders of…Deep
134241Answer Question 2 about the experimentDeep
134245(a) Find the work … when a constant force … pounds moves…Easy
134247A shock-absorber is compressed 1 inch by a weight of 1 tonEasy
134249(a) A 120-lb person makes a scale go down … inchesEasy
134251Integrate to find the work in winding up a hanging cable of…Easy
134253The force of gravity on a mass … isEasy
134257It takes 20 foot-pounds of work to stretch a spring 2 feetMedium
134259A rectangular dam is 40 feet high and 60 feet wideMedium
134261A cylinder of depth … and cross-sectional area … stands full of…Medium
134263How much work is required to pump out a swimming pool, if…Medium
134265In relativity the mass isDeep
134269In what ways is work like a definite integral and energy like…Deep
134054… andEasy
134056… andEasy
134058… andEasy
134060… andEasy
134061… and … andEasy
134062… andEasy
134064… and … andEasy
134066Find the area inside the three lines …, andEasy
134068Does the parabola … out to … sit inside or outside the…Easy
134070Rotate the ellipse … around the … axis to find the volume…Easy
134072What is the volume of the flying saucer that comes from rotating…Easy
134074Easy
134076Easy
134078Easy
134080Easy
134082A cap of height … is cut off the top of a…Medium
134084The base is a disk of radiusMedium
134086The base is the region under the parabolaMedium
134088Cavalieri's principle for areas: If two regions have strips of equal length…Medium
134090Draw another region with the same slice areas as the tilted cylinderMedium
134092(d) The volume of the wedge is ______Medium
134094**The slices in 43–46 are washersMedium
134095The rectangle with sides … is rotated around the … axisMedium
134097The same rectangle is rotated around the lineMedium
134100Find the volume common to two spheres of radius … if their…Medium
134101(Shells vsMedium
134103Yogurt comes in a solid of revolutionMedium
134105If a roll of paper with inner radius 2 cm and outer…Medium
134106Use shells to find the volumes in 55–63Medium
134107… (around the … axis)Medium
134109… (around either axis)Deep
134111… (around the … axis)Deep
134113… (around the … axis)Deep
134115… (around the … axis)Deep
134117The region between … and … is rotated around the … axisDeep
← PreviousPage 3 of 4Next →