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evaluate the integral

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Apprentice
Karma Points: 189
Respect (100%):
Date Posted: 7/2/2008 10:45:04 AM  Status: Closed
evaluate the integral
Course Textbook Chapter Problem
N/A N/A N/A N/A
Question Details:
∫tan4xsec4xdx
a) sec44x + C
b) (1/16)sec44x + C
c) tanxsec54x + C
d) (1/8) sec44xtan4x + C
show work plz thank

∫ tan4xsec44xsec24xdx
∫ tan4x(1 + tan24x) sec24xdx
let u = tan4x
du = 4sec24x dx
(1/4)∫ u(1+u2)du

Answers:

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(Cramster SME)
Cramster In-House Subject Matter Expert
Date Posted: 7/3/2008 12:29:43 AM  Status: Live
Asker's Rating: Helpful   
Response:
VietSpeed's Comment:
thank kinn!!

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Oracle
Karma Points: 9,229
Date Posted: 7/3/2008 1:03:44 AM  Status: Live
Asker's Rating: Lifesaver   
Response:
we have :
 
 
the integral becomes: 
 
put :  u = cos(4x)    ---->  du = - 4 sin(4x) .dx   ---->  sin(4x).dx = -du/4
 
====> 
 
where C is a constant of integration
 
hope this helps
VietSpeed's Comment:
thank bpanda
You Don't Mess with the Panda



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