Homework SourseConstruct a function fx that is a continuous nonnegative fun
Construct a function f(x) that is a continuous non-negative function on [0,1], with the finite area under f(x) on [0,1] but the arc length of f(x) on [0,1] is infinite. Please can you use the piecewise function to solve for f(x)? Please show detail work of the problem. Thank you very much.
Solution
The function is tan (PI*x/2)![Construct a function f(x) that is a continuous non-negative function on [0,1], with the finite area under f(x) on [0,1] but the arc length of f(x) on [0,1] is i](/WebImages/18/construct-a-function-fx-that-is-a-continuous-nonnegative-fun-1035715-1761537363-0.webp "Construct a function f(x) that is a continuous non-negative function on [0,1], with the finite area under f(x) on [0,1] but the arc length of f(x) on [0,1] is i")
