D由y=x,y=x²围成,计算I=∫∫dxdy/√x²+y²
问题描述:
D由y=x,y=x²围成,计算I=∫∫dxdy/√x²+y²
答
y = x²rsinθ = r²cos²θsinθ = rcos²θr = sinθ/cos²θ = secθtanθ
D由y=x,y=x²围成,计算I=∫∫dxdy/√x²+y²
y = x²rsinθ = r²cos²θsinθ = rcos²θr = sinθ/cos²θ = secθtanθ