Consider the parametric equations below. x = t sin(t), y = t cos(t), 0 ≤ t ≤ π/6 set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis. integral (0 to π/6) dt use your calculator to find the surface area correct to four decimal places.

The area of the surface is

for all , and

The integral is then

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

u also answered this so i think u would know but i am here to

put in or use mine

hi! i think the answer is 1/2 : )