How do I solove this integration problem
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How do I solove this integration problem

[From: ] [author: ] [Date: 12-04-30] [Hit: ]
Can you show me the steps please?-The picture has the following information given as int( f(x)dx, x = 0..4) = 5int( f(x)dx, x = 2.......
I missed one class in calculus so this problem is just so confusing for me.

http://oi48.tinypic.com/rcnehv.jpg

I have the photo of the problem so it's easier to see the symbols.
How do I even go about solving this problem?
Can you show me the steps please?

-
The picture has the following information given as
int( f(x)dx, x = 0..4) = 5 int( f(x)dx, x = 2..4) = 3
there is information about integral of g(x), but we do not need this with respect to the only question
a) Calculate
int( f(x) dx, x = 0..2)
Using the given information we have
int( f(x) dx, x = 0...2) = int( f(x) dx, x = 0...4) + int( f(x) dx, x = 2..4)
= int( f(x) dx, x = 0...4) - int( f(x) dx, x = 4...2)
= 5 - 3
= 2
I hope that clarifies the problem
1
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