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If int_a^b f(x) dx = a+2b, then what is int_a^b (f(x) + 5) dx equal to

  • #1
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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
 

Answers and Replies

  • #2
dextercioby
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It is very correct.

Daniel.
 

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