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6 Nov 2019
Let f be continuous on the interval [0, b). Show that A = f(x) dx/f(x) + f(b-x) = b/2 Hint: Let A1 = f(u) du/f(u) + f(b - u). Note that A1 = A. In the above integral, make the change of variables u = b-x and let A2 equal the resulting integral. Then, determine the value of A1 + A2 and use it to determine the value of A. Show transcribed image text
Let f be continuous on the interval [0, b). Show that A = f(x) dx/f(x) + f(b-x) = b/2 Hint: Let A1 = f(u) du/f(u) + f(b - u). Note that A1 = A. In the above integral, make the change of variables u = b-x and let A2 equal the resulting integral. Then, determine the value of A1 + A2 and use it to determine the value of A.
Show transcribed image text