Calculus · Chapter 10 of 16

Techniques of integration

7 curated · 240 from open sources · 58,824 generated

From open sources

240

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

#	Title	Difficulty
133910		Medium
133912		Medium
133914		Medium
133916		Medium
133918		Medium
133920		Deep
133922	Choose … so that	Deep
133924	The instruction for this exercise is printed above it in the book…	Deep
133926	If a square Mercator map shows 1000 miles at latitude …, how…	Deep
133928	Use substitution (11) to find	Deep
133930	What product … is graphed below	Deep
133931	The figure for this exercise is in the book and isn't reproduced…	Deep
133933		Easy
133934		Easy
133940		Easy
133943		Easy
133955		Medium
133961	(c) Verify that	Medium
133963		Medium
133964		Medium
133975	For the three functions … in Problems 43, 45, 47 integrate	Deep
133976	For the three functions … in Problems 44, 46, 48 integrate	Deep
133980	These answers agree	Deep
133992	… (divide first)	Easy
133994		Easy
133996		Medium
133997	… (divide first)	Medium
134000	Apply Method 1 (matching numerators) to Example 3: …\frac{1}{cy-by^2}=\frac{A}{y}+\frac{B}{c-by}=\frac{A(c-by)+By}{y(c-by)}.… Match the numerators…	Medium
134003	By substitution change 21–28 to integrals of rational functions	Medium
134004		Medium
134005		Medium
134006		Medium
134007		Medium
134008		Deep
134009		Deep
134010		Deep
134011		Deep
134012	Multiply this partial fraction by	Deep
134013	Find … in	Deep
134014	(for instructors only) Which rational functions … are the derivatives of other…	Deep