Construct 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. Can you please solve for the arc length of f(x) on [0,1] is infinite on the function f(x)= tan(pie *X/2)? Please show detail work. Thank you so much.

Solution

The function is f(x)= tan(*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

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