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find the average vaule by y=|e^x-1| of x axis in the interval [-1,1]

find the average vaule by y=|e^x-1| of x axis in the interval [-1,1]

Grade:10

2 Answers

ruchi yadav
askIITians Faculty 27 Points
10 years ago
The average value of a functionf(x)on an interval[p,q]is taken to be the height of a rectangle with a base of(q-p)so that the area of that rectangle is the same as the area "under the curve" forf(x)on the same interval
Please find attached file.





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Name,
askIITians Faculty
sudhir pal
askIITians Faculty 26 Points
10 years ago
average value can be defined as width of rectangle whose length is equal to interval of the given function and area equal to that of graph in given interval
I have drawn graph of |ex-1| and found are in [-1,1]
area = e-1+e-2
area of rectangle = (average value) * 2
average value = (e-1+e-2)/2




Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi



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