. This problem involves all of the 3 types of integrals we have studied so far. (a) Calculate (c) Calculate j (₂². You may need to do a trig substitution here. (b) Calculate (a² - y²)¹/2 dy. a √a²-y² II- dx dy. -a a²-y² √a²-y² √a²-x²-y² ILI -a-√√a²-y². a²-x²-y² dz dx dy.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. This problem involves all of the 3 types of integrals we have studied so far.
(a) Calculate
a
(c) Calculate
You may need to do a trig substitution here.
(b) Calculate
(a² - y²)¹/2 dy.
√a²-y²
J J
-a
a
/ T
-a
a²-y²
dx dy.
√₁²-y² √a²-x²-y²
S
-√√a²-y²-√√√a²-x²-y²
dz dx dy.
Transcribed Image Text:5. This problem involves all of the 3 types of integrals we have studied so far. (a) Calculate a (c) Calculate You may need to do a trig substitution here. (b) Calculate (a² - y²)¹/2 dy. √a²-y² J J -a a / T -a a²-y² dx dy. √₁²-y² √a²-x²-y² S -√√a²-y²-√√√a²-x²-y² dz dx dy.
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