Page 344 - Schaum's Outline of Theory and Problems of Advanced Calculus

CHAP. 12] IMPROPER INTEGRALS 335

ð ð r ffiffiffi
1 1 1
2
2
12.85. (a)Given that sin x dx ¼ cos x dx ¼ [see Problems 15.27 and 15.68(a), Chapter 15], evaluate
0 0 2 2
ð ð
1 1 2 2
sinðx þ y Þ dx dy
0 0
(b) Explain why the method of Problem 12.31 cannot be used to evaluate the multiple integral in (a).
Ans. =4