1. Feb 14, 2005 #1

   UrbanXrisis

   

   If [tex]\int_{a}^{b} f(x)dx = a+2b[/tex] then [tex]\int_{a}^{b} (f(x)+5)dx = ?[/tex]
   
   Here's what I did:
   [tex]\int_{a}^{b} (f(x)+5)dx = \int_{a}^{b}f(x)dx+\int_{a}^{b} 5 dx [/tex]
   [tex]\int_{a}^{b}f(x)dx+\int_{a}^{b} 5 dx = a+2b + 5b - 5a[/tex]
   [tex]\int_{a}^{b} (f(x)+5)dx = 7b-4a[/tex]
   
   Did I do this correctly? I know the answer is correct but I want to know if my thought process was correct or not. Thanks

    

   UrbanXrisis, Feb 14, 2005
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3. Feb 14, 2005 #2

   dextercioby

   

   Science Advisor

   Homework Helper

   Insights Author

   It is very correct.
   
   Daniel.

    

   dextercioby, Feb 14, 2005

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