Consider the function(a) Write a short paragraph giving a geometric interpretation of the function F(x) relative to the functionUse what you have written to guess the value of x that will make F maximum.(b) Perform the specified integration to find an alternative form of F(x). Use calculus to locate the value of x that will make F maximum and compare the result with your guess in part (a).

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(x+2 =1²²7 F(x) = 2 1² + 1 dt.