Calculus · Chapter 9 of 16

Integrals

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From open sources

228

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

#	Title	Difficulty
133457	The hypervolume of a four-dimensional sphere is	Medium
133458	The area above the parabola … from … to … is	Medium
133459	The wedge in Figure (a) has area	Medium
133460	… is also the area of a quarter-circle	Medium
133461	The distance … in Figure (b) is related to … by …	Deep
133462	The … and … coordinates in Figure (c) add to … ______	Deep
133463	The horizontal strip at height … in Figure (d) has width …	Deep
133464	Use thin rings to find the area between the circles … and…	Deep
133465	The length of the strip in Figure (e) is approximately ______	Deep
133466	The area of the ellipse in Figure (f) is	Deep
133467	The derivative of the integral of … is	Deep
133468	The integral of the derivative of … is	Deep
133469	Does … lead to	Deep
133470	The mountain … has an area … above the … axis	Deep
133471	What is the difference	Easy
133473	Compute … and … for … and	Easy
133475	Test three different rules on … for	Easy
133476	Compute … to six places as …, using any rule	Easy
133477	Change Simpson's rule to … in each interval and find the order…	Easy
133479	Check that … is the correct error for … and … and…	Easy
133480	Repeat Problem 9 for the midpoint error	Easy
133481	In principle	Easy
133483	To compute … with error less than …, how many intervals should…	Medium
133485	Take … in error formula 3R to prove that … is exactly…	Medium
133487	For …, the leading error in the trapezoidal rule is ____	Medium
133489	Write down the three equations … for the three integrals	Medium
133491	Show that … is the only combination of … and … that…	Medium
133499	Suppose … is concave up	Deep