This preview shows page 1. Sign up to view the full content.
Unformatted text preview: (a) (10 pts.) Z 1 1 e ax e x + 1 dx = sin( a ) , (b) (10 pts.) Z 1 1 cosh( ax ) cosh( x ) dx = sec a 2 . [Hint: For the rst integral integrate exp( az ) = (exp( z ) + 1) around a rectangle with vertices at R , R , R +2 i and R +2 i . The second integral can be obtained similarly, or deduced from the rst.] 4. (30 pts.) Obtain the formulae (a) (15 pts.) Z 1 1 1 cos( x ) x 2 dx = , (b) (15 pts.) Z 1 sin( x ) x (1 x 2 ) dx = . Due at 5pm on Wed. November 18....
View Full Document
This note was uploaded on 01/14/2010 for the course ACM 1 taught by Professor Prof during the Fall '09 term at Caltech.
- Fall '09