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. Please can you show the arc length of f(x) on [0,1] is infinite. Thank you!
Solution
f(x) = tan (pie *X/2) , IT satisfies all the conditions![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/32/construct-a-function-fx-that-is-a-continuous-nonnegative-fun-1090721-1761574279-0.webp)