Lemma

Calculus · Chapter 9 of 16

Integrals

8 curated · 157 from open sources · 6.9 million generated

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From open sources

157

Complete problems only, with worked solutions first. Show everything

#TitleDifficulty
133251With …, find the area of the three rectangles that enclose the…Deep
133253From … to …, the area under … isDeep
133255Easy
133256Easy
133257… (or …)Easy
133258… (or …)Easy
133259Easy
133262Easy
133263… (by experiment)Easy
133264… (by experiment)Easy
133265Easy
133266Easy
133267… (find all …)Easy
133268… (find all …)Medium
133269If … then the definite integral of … from … to …Medium
133273Draw … from 0 toMedium
133275Draw … for … with two rectangles under it (base 1/2)Medium
133277(with calculator) For … take enough rectangles over … to convince any…Medium
133279For … and … in the figure estimate the areas … and…Medium
133281Describe the indefinite integrals of … andDeep
133287(e) … is an antiderivative ofDeep
133288Compute the numbers … andEasy
133289Compute … andEasy
133290Evaluate the sum … andEasy
133295The binomial formula uses coefficients …:Easy
133296With electronic help compute … andEasy
133299Show that … andEasy
133300"Telescope" the sums … andEasy
133306Prove by induction:Medium
133308Suppose … has the formMedium
133310Add … to the table for … and find the relative error…Medium
133314Show thatMedium
133316The **double sum** … is … plusMedium
133318Find the flaw in the proof that … for everyDeep
133320The average of … isDeep
133322Suppose … rectangles with base … touch the graph of … at…Deep
133324The sum … equals ______Deep
133368Easy
133369Easy
133370Easy
133372… (careful)Easy
133373Easy
133375Easy
133380Easy
133382Medium
133392If … is increasing for … the difference … is the area…Medium
133400(g) One … in Figure 5.10 gives the exact areaDeep
133401The minimum of … is atEasy
133404The ratio … is the average value of … onEasy
133407The average of … from 0 to 2 plus the average from…Easy
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