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试作适当变换,计算下列积分:
   
   

A.174.24.96:6088/Latex/latex.action?latex=KDEpXDtfe0R9XntcaW50IFxpbnQgfSh4K3kpc2luKHgteSlkeGR577yMRO%2B8nVxsZWZ0XHsgKHgs%0D%0AeSnvvZwwXGxlcSB4K3lcbGVxIFxwaSDvvIwwXGxlcSB4LXkgXGxlcSBccGlccmlnaHRcfe%2B8mw%3D%3D'
B.174.24.96:6088/Latex/latex.action?latex=KDIpXDtfe0R9XntcaW50IFxpbnQgfWVee1xmcmFje3l9e3greX19ZHhkee%2B8jEQ9XGxlZnRceyAo%0D%0AeCx5Ke%2B9nHgreVxsZXEgMe%2B8jHhcZ2VxIDDvvIx5XGdlcSAwXHJpZ2h0XH3vvJs%3D'

【参考答案】

(1)令

因为T将0≤x+y≤π变为0≤u≤π,0≤x-y≤π变为0≤υ≤π。又
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