計(jì)算二重積分:∫∫x(根號下y)dσ,其中D是由兩條拋物線y=根號下x及y=x2所圍成的閉區(qū)域!求過程!
計(jì)算二重積分:∫∫x(根號下y)dσ,其中D是由兩條拋物線y=根號下x及y=x2所圍成的閉區(qū)域!求過程!
答案:6/55,求過程!
答案:6/55,求過程!
數(shù)學(xué)人氣:716 ℃時(shí)間:2020-03-26 19:04:55
優(yōu)質(zhì)解答
{ y = √x{ y = x²==>交點(diǎn)為(0,0),(1,1)∫∫_D x√y dσ= ∫(0→1) x ∫(x²→√x) √y dy= ∫(0→1) x · (2/3)y^(3/2):(x²→√x) dx= ∫(0→1) (2/3)x · [(√x)^(3/2) - (x²)^(3/2)] dx= ∫(...
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