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1.

**the Integral (lower bound 'a' , upper bound 'b') of f(x) dx = a + 2b**

Then

**the Integral (lower bound 'a' , upper bound 'b') of (f(x) + 3) dx = ?**

I have no idea what the second integral would equal, knowing that the first one equals a + 2b. Since in the second integral you are adding 3 to f(x), would it just equal a + 2b + 3?

Obviously that seems too simple, so if someone could help thatd be great!

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2. I was given the Piecewise Defined function of:

f(x) =

-1 when x < 0

0 when x = 0

1 when x > 0

One of the questions following , was :

**What is the limit as x approaches 0 of the absolute value of f(x)?**

Would the answer be 0, 1 or Does Not Exist?

If someone could help that'd be great, as I have extra time to finish the test tomorrow. haha

THANKS! :)