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posted by  indra on 12/1/2008 1:19:34 AM  |  status: Closed  

integral11

Course Textbook Chapter Problem
Calculus Calculus (6th) by Stewart N/A N/A
Question Details:
Please, need help, and step by step.
 
   If f(x) is continuous on [0, ], use the substitution u = - x to show
    that =
 
  Thank You
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posted by Bpanda on 12/1/2008 1:38:03 AM  |  status: Live
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indra's comment:
"Thank you so much"
Response Details:
Let's put:
 
u = π - x   ====>   du  = -dx
 
when  x = 0   --------> u = π
when x = π   ---------> u = 0
 
the integral becomes:
 
we know that :  sin(π - u) = sin(u) 
 
         
 
===> 
 
===>
 
thus: =
 
hope this helps
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