计算∫∫sin(y^2)dx dy D 由直线x=0,y=1,y=x所围城的闭区域

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计算∫∫sin(y^2)dxdyD由直线x=0,y=1,y=x所围城的闭区域计算∫∫sin(y^2)dxdyD由直线x=0,y=1,y=x所围城的闭区域计算∫∫sin(y^2)dxdyD由直线x=0,

计算∫∫sin(y^2)dx dy D 由直线x=0,y=1,y=x所围城的闭区域
计算∫∫sin(y^2)dx dy D 由直线x=0,y=1,y=x所围城的闭区域

计算∫∫sin(y^2)dx dy D 由直线x=0,y=1,y=x所围城的闭区域
∫∫sin(y^2)dxdy=∫sin(y^2)dy∫dx
=∫y*sin(y^2)dy
=(1/2)∫sin(y^2)d(y^2)
=(1/2)(cos0-cos1)
=(1-cos1)/2.

Sin[1/2]^2

𠃍乁乙工

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