(Solved): Consider the following. \[ y=8 \arctan (x),[0,9] \] (a) Sketch the graph of the function, highligh ...

Consider the following. \[ y=8 \arctan (x),[0,9] \] (a) Sketch the graph of the function, highlighting the part indicated by the given interval. (b) Write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated the techniques studied so far. \( d x \) (c) Use the integration capabilities of a graphing utility to approximate the arc length. (Round your answer to three decimal places.)