密度函数f(x,y)=k(x^2+y^2),x^2+y^2

问题描述:

密度函数f(x,y)=k(x^2+y^2),x^2+y^2

答案:k = 2/π;
f(x,y)满足:
∫(-∞:∞)∫(-∞:∞)f(x,y)dxdy = 1;
于是:
1 = k∫∫(x^2+y^2)dxdy ; (积分域为:x^2+y^2