How do you do this?

Question

Approximate the arc length of the graph of the function f(x)=√x on the interval [0,32] using n=4. If necessary, round any intermediate calculations to no less than six decimal places and round your final answer to four decimal places.

Answer 1

Make a table with x in the first column, y in the second, ΔL in the third

The x values are 0,8,16,24,32 providing 4 steps from 0 to 32.

Calculate the corresponding y values using y=sqrt(x)

Calculate the corresponding ΔL values using sqrt(Δx²+Δy²)

Sum the ΔL values to find the answer (34.5298)