Consider the parametric equation x 12costheta thetasinthet

Consider the parametric equation

x = 12(cos(theta) + theta*sin(theta))
y = 12 (sin(theta) - theta*cos(theta))

What is the length of the curve for theta = 0 to theta = 11/10*pi

L = ((dx/d)^2 + (dy/d)^2) d
...= ( = 0 to 11/10) [(12(-sin + cos + sin )^2 + (12(cos - sin + cos )^2] d
...= 12 ( = 0 to11/10) [( cos )^2 + (- sin )^2] d
...= 12 ( = 0 to11/10) d
...= 363^2 / 50.