Area Under Y=2x Area under Y=2x between x=0 and x=2 is ½.(2).4 = 4, obviously. However, what I will show you here can apply to ANY function.

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Presentation transcript:

Area Under Y=2x Area under Y=2x between x=0 and x=2 is ½.(2).4 = 4, obviously. However, what I will show you here can apply to ANY function.

Area Under Y=2x We can use f(x) = 2x  = NOTE! ”primitiv funktion” to 2x. Note the [] Means ”integralen av 2x från 0 till 2”. This gives the AREA under the function f(x) = 2x between 0 and 2 This methods works no matter what the function is!

Area Under Y=2x What is the area under f(x) between x=1 and x=2? The area of the triangle formed under y=2x between x=0 and x=2 is 4. The area of the triangle between x=0 and x=1 is 1. The area under f(x) between x=1 and x=2 is therefore the difference=3.

Area Under Y=2x We can use f(x) = 2x  = NOTE! ”primitiv funktion” to 2x. Note the [] Means ”integralen av 2x från 1 till 2”. This gives the AREA under the function f(x) = 2x between 1 and 2 This methods works no matter what the function is!