THe graph of y = f (x) passes through the origin. the arc length of the curve from (0,0) to (x, f(x)) is given by s(x) = (integral from a to x) of the square roote of 1 + e ^ t dt... Identify the function f.
The arc length formula is: .The graph of passes through the origin.
The arc length of the curve from to is given by: .
Identify the function
So we know that: .
Since the graph contains the origin , we have: .
. . Therefore: .