Asked by Kenneth
                use the fundamental theorem to find the area under f(x)=x^2 between x=1 and x=4.
how do i go about doing this? i know how to use my calculator, but it says to use the theorem so i'm not completely sure.
            
        how do i go about doing this? i know how to use my calculator, but it says to use the theorem so i'm not completely sure.
Answers
                    Answered by
            drwls
            
    The indefinite integral of x^2 is x^3/3. Calculate the vlalue of that function at x = 4 and subtract the value at x= 1. The difference is called the definite integral and will be equal to the area under the  y = x^2 curve (measured above the x axis).
    
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