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what is the answer of the given question,in the picture uploaded?

what is the answer of the given question,in the picture uploaded?

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Grade:11

1 Answers

Aditya Gupta
2081 Points
3 years ago
first find the bounded area which is ∫ydx= ∫(1+8/x^2)dx from 2 to 4 = 4
now to equally divide this area into two, each part obviously must have an area of 2 units^2.
so that area= 2= ∫(1+8/x^2)dx from 2 to a
or 2= (a^2 – 8)/a + 2
or a^2=8
or a= root8= 2root2

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