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ysinx/ydxdy.由直线y=x,y=2,x=0围成.跪求怎么二重积分
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ysinx/ydxdy.由直线y=x,y=2,x=0围成.跪求怎么二重积分
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答案和解析
∫∫ysin(x/y)dxdy
=∫(0,2)ydy∫(0,y)sin(x/y)dx
=∫(0,2)y^2dy∫(0,y)sin(x/y)d(x/y)
=∫(0,2)y^2[-cosx/y]|(0,y)dy
=∫(0,2)y^2[1-cos1]dy
=(1-cos1)∫(0,2)y^2dy
=8(1-cos1)/3
=∫(0,2)ydy∫(0,y)sin(x/y)dx
=∫(0,2)y^2dy∫(0,y)sin(x/y)d(x/y)
=∫(0,2)y^2[-cosx/y]|(0,y)dy
=∫(0,2)y^2[1-cos1]dy
=(1-cos1)∫(0,2)y^2dy
=8(1-cos1)/3
看了 ysinx/ydxdy.由直...的网友还看了以下：