b). Calculate the integral I = cos ap 1+p² dp . Hint: Consider the identity 1 =L{sint}=fe sin tdt 1+ p² Then substitute this expression into integral I and reduce the problem to the differential equation by changing the order of integration.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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b). Calculate the integral
1
I =
cos ap
1+p²
dp
. Hint: Consider the identity
-L{sint}=fe sin tdt
1+ p
Then substitute this expression into integral I
and reduce the problem to the differential equation by changing the order
of integration.
Transcribed Image Text:b). Calculate the integral 1 I = cos ap 1+p² dp . Hint: Consider the identity -L{sint}=fe sin tdt 1+ p Then substitute this expression into integral I and reduce the problem to the differential equation by changing the order of integration.
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