This week we discussed Definite Integrals and then the Fundamental Theorem of Calculus and also the Properties of Integrals. Starting with the definite integrals-that means the integral has upper and lower bounds and it represents an areabetween the graph and the x-axis. Well first, you write the integral symbol and your bounds are going to be what's shaded on the graph. Then you put the equation of the graph after the S followed by dx to complete your integral. OR for definite integrals they can do it the other way around and give you the integral function and they'll ask you to sketch the graph based off of that.
Example: S2-4 (x-9) dx:
1/2(4)^2-9(4)-[1/2(2)^2-9/2)]
=8-36-(2-18)
=-28+16
=-12
1/2(4)^2-9(4)-[1/2(2)^2-9/2)]
=8-36-(2-18)
=-28+16
=-12
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