# Slide 1 ```Warmup 1/12/16
When you accept Christ, are you saved no matter what?
Or is it possible to lose that salvation?
Objective
Tonight’s Homework
To learn a few more
properties of the definite
integral
pp 300: 1, 3, 7, 8, 9, 11
Homework Help
Let’s spend the first 10 minutes of class going over any
problems with which you need help.
Notes on Definite Integral Properties
We’ve covered a number of things about the
definite integral (area under a curve). Today, we
want to summarize some of those rules.
b
b
b
∫a(f(x) + g(x)) dx = (∫af(x) dx) + ( ∫ag(x) dx)
b
b
a
∫ak f(x) dx = k ∫af(x) dx
b
∫a f(x) dx = 0
a
∫a f(x) dx = - ∫b f(x) dx
b
c
c
∫a f(x) dx +∫b f(x) dx = ∫a f(x) dx
If g(x) &lt; f(x) on [a, b] then
b
b
∫ag(x) dx &lt;∫af(x) dx
Group Practice
Look at the example problems on pages 298 and 300.
Make sure the examples make sense. Work through them
with a friend.
Then look at the homework tonight and see if there are
any problems you think will be hard. Now is the time to
ask a friend or the teacher for help!
pp 300: 1, 3, 7, 8, 9, 11
Exit Question
Find the integral of x3 + 2x - 5 from -2 to 2
a) 0
b) 8
c) 13
d) 18
e) 23
f) None of the above
```