Area a b x y When the portion of the graph of y = f(x) is below the x-axis between x = a and x = b then the value of will be negative.

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Presentation transcript:

Area a b x y When the portion of the graph of y = f(x) is below the x-axis between x = a and x = b then the value of will be negative.

Area Entrapped between two curves

Example Find the finite area enclosed between the graph of and

Example Find the points of intersection for the graphs of and Hence find the finite area enclosed between the graph of and

The graph drawn above is of the line and the curve Example y x The graph drawn above is of the line and the curve Find the points of intersection for the graphs and Hence find the finite area enclosed between the graph of and for x > 0.