Calculus · Chapter 10 of 16

Techniques of integration

7 curated · 147 from open sources · 58,824 generated

From open sources

147

Complete problems only, with worked solutions first. Show everything

#	Title	Difficulty
133925	Show that … and find the correct phase angle	Deep
133927	When lengths are scaled by …, area is scaled by ______	Deep
133929	Explain from areas why	Deep
133932		Easy
133935		Easy
133936		Easy
133937	… (see 7.2.62)	Easy
133938		Easy
133939		Easy
133941		Easy
133942		Easy
133944	### *17	Easy
133945		Easy
133946	### *20	Easy
133947	(b) How can the same integral give two answers	Easy
133948	Compute … with	Easy
133949	Integrate … with …, and also directly as a logarithm	Medium
133950	Calculate the definite integrals 25–32	Medium
133951	… area of ______	Medium
133952		Medium
133954		Medium
133956		Medium
133957		Medium
133958	… area of ______	Medium
133959	Combine the integrals to prove the reduction formula …:	Medium
133960	Integrate … and … and	Medium
133965		Medium
133966		Medium
133968	Rewrite 43–48 as … or … by completing the square	Medium
133977	For … why does the answer have different forms for … and…	Deep
133979	Find the mistake	Deep
133982	Draw … and … to the same scale (… across and up…	Deep
133983	What is wrong, if anything, with …\int_0^2 \frac{dx}{\sqrt{1-x^2}} = \sin^{-1}2	Deep
133985	Find the numbers … and … to split …: … \frac{1}{x^2-1}=\frac{A}{x-1}+\frac{B}{x+1}	Easy
133989	… \frac{1}{x^3-x}	Easy
133991		Easy
133993		Easy
133998		Medium
133999		Medium
134001	What goes wrong if we look for … and … so that…	Medium
134002	Split … into	Medium
133325	… (add …)	Easy
133326	… (always …)	Easy
133327		Easy
133328		Easy
133329		Easy
133330		Easy
133331		Easy
133333		Easy
133335		Easy