- #1

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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