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 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/3/construct-a-function-fx-that-is-a-continuous-nonnegative-fun-969985-1761499424-0.webp)