Unformatted text preview:
View Full Document
1 8 9 Improper Integrals Improper integrals are integrals involving a region which is unbounded in some sense There are two types of improper integrals each of which is handled similarly Examples 0 1 e 1 dx HINT you can integrate over ANY finite region x 1 2 x 2 1 dx What is the problem with using FTC here x ln x 1 Find all values of p for which a 1 dx converges assume a 0 xp Comparison Theorem Suppose f and g are continuous and 0 f x g x for x N a If g x dx converges then N b If f x dx diverges then N 2 3 x 1 dx x2 4 Method I Method II 3
View Full Document
Unlocking...