Can you explain how to solve part b by using the method of finding the length of a curve? Thanks

(5) Consider the function g(w) = 7 sin w cos w - 2 cos w sin w + sin w (a) Evaluate the indefinite integral g(w) dw. (b) Write down (but do not evaluate) a definite integral that describes the length of the curve z = g(w) over the interval [1/2, 1). (You may find that using some of your work from part (a) makes this less tedious.)