Give the formula for a function with domain (5, ∞) that has the following properties:
• f is a positive function that is continuous on (5, ∞)
• f has an infinite discontinuity at x = 5
• the area under y = f(x) and over the x-axis (for x > 5) is equal to 7.
You must verify that the area is 7 by writing down and correctly evaluating an appropriate improper integral.
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