Lemma

Calculus · Chapter 11 of 16

Applications of integrals

4 curated · 38 from open sources

← Techniques of integrationImproper integrals →
AllEasyMediumDeep

Curated

4
#TitleDifficultyTags
141Between a line and a parabolaEasyArea between curves
732A solid of revolutionEasyApplications of integrals
734Average of a parabolaEasyApplications of integrals
735Stretching a springEasyApplications of integrals

From open sources

38

Complete problems only, with worked solutions first. Show everything

#TitleDifficulty
134055… andEasy
134057… andEasy
134059… andEasy
134063… and … andEasy
134065… and … andEasy
134067Find the area bounded by …, andEasy
134069Find the area of the largest triangle with base on the …Easy
134071What is the volume of the loaf of bread which comes from…Easy
134073Draw the region bounded by the curves in 21–28Easy
134075Easy
134077Easy
134079… (rotate the region where …)Easy
134122… from … toEasy
134124… from … toEasy
134125… from … toEasy
134126… from … toEasy
134127… from … toEasy
134128… from … toEasy
134129… from … toEasy
134130The curve given by …, … is an _astroid_ (a hypocycloid)Easy
134131Find the length from … to … of the curve given by…Easy
134132Find the length from … to … of the curve given by…Easy
134133What integral gives the length of Archimedes’ spiral …,Easy
134162Easy
134163Easy
134218Verify these engineering formulas for … withEasy
134246A 12-inch spring is stretched to 15 inches by a force of…Easy
134248A force … stretches a nonlinear spring byEasy
134250A rocket burns its 100 kg of fuel at a steady rate…Easy
134252The great pyramid (height …—you can see it from Cairo) has a…Easy
134254The approximate work to lift a 30-pound suitcase 20 feet is 600…Easy
134134Find the distance traveled in the first second (to …) if …Easy
134164Easy
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