计算二重积分∫∫D(sinx⼀x)dxdy,其中D是由y=x^2,y=0,x=π⼀2所围成的区域

2024-11-07 12:42:43
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回答(1):

刚做
∫∫D(sinx/x)dxdy
=∫(0,π/2)(sinx/x)dx∫(0,x^2)dy
=∫(0,π/2)xsinxdx
=∫(0,π/2)xsinxdx
=[-xcosx+sinx]|(0 π/2)
=1