The arc length of the plane curve a: : 4t l 2, y : 3t2 2, where 0 g t g 3, is given by the integral f: f(t)dt where f(t) : The arc length of the plane curve m : 4t sin 3t, 3; = 3 + cos 3t, where 0 S t S 4w, is given by the integral 471' f(t)dt 0 where f (t) = Find the circumference of the circle 1'2 + y2 : 42, i.e., the arc length of the plane curve a: : 4 cost, 3/ : 4 sin t, where 0 S t S 21f. The circumference is 27r f(t)dt 0 where f (t) : See Example 3 page 297 for a similar problem. Find the length of the line segment from A(3, 5) to B(2, 2). See Example 4 page 297 for a similar problem. Find the length of the arc of the curve 3; : 5m1'5 i 5 from the point (1,10) to (4, 45). See Example 5 page 297 for a similar