求解，快快解答，求解题

Question

Answer 1

来个极坐标积分

syms rho theta
f = rho;
s = int(int(f,rho,0,2*(1-sin(theta))), theta,0,2*pi)

得到

s =
 
6*pi

假设要蒙特卡洛方法：

n = 100000;
x = 8*rand(n,1)-4;
y = 8*rand(n,1)-4;
theta = atan2(y,x);
rho = sqrt(x.^2+y.^2);
P = sum(rho<=2*(1-sin(theta)))/n; %概率
s = P*(8*8)

结果是随机的

s =

   19.0688

有帮助望采纳哟，谢谢啦