19.

 

A. (p 3/256)cos(p /8)

B. (Ö 2/32)(p 2+8p -32)

C. (p 2/32)Ö 2

D. (Ö 2/32)(p 2-8p +32)

E. (p 3/384)(2-Ö 2)

 

 

Solution: The answer is B 

To evaluate the above integral, integrate by parts, twice, as follows:

 

 

Apply the method of integration by parts to the integral in equation (1),

 

 

Combine the above two results, so that,