2.画出积分区域 并计算下列二重积分:

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2.画出积分区域,并计算下列二重积分:

热搜:对于比例积分微分控制来说,积分时间

答案解析

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  • (1)积分区域如图9-18所示,
       latex.action?latex=XGludCBcaW50IF9EXnt9eFxzcXJ0e3l9ZFxzaWdtYSA9XGludCBfMF4xZHhcaW50IF97eF4yfV57%0D%0AXHNxcnR7eH19eFxzcXJ0e3l9ZHk%3D
       latex.action?latex=PVxpbnQgXzBeMXhcbGVmdFsgXGZyYWN7Mn17M315XntcZnJhY3szfXsyfX0gXHJpZ2h0XV97eF4y%0D%0AfV57XHNxcnR7eH19ZHg%3D
       latex.action?latex=PVxpbnQgXzBeMVxsZWZ0KCBcZnJhY3syfXszfXhee1xmcmFjezd9ezR9fS1cZnJhY3syfXszfXhe%0D%0ANCBccmlnaHQpZHg9XGZyYWN7Nn17NTV9
       1.136C2FE.jpg$(2)积分区域D如图9-19所示,则
       1.1370268.jpg
       latex.action?latex=XGludCBcaW50IF9EXnt9eHleMmRcc2lnbWEgPVxpbnQgX3stMn1eMmR5XGludCBfMF57XHNxcnR7%0D%0ANC15XjJ9fXh5XjJkeA%3D%3D
       latex.action?latex=PVxpbnQgX3stMn1eMlxsZWZ0WyBcZnJhY3sxfXsyfXheMnleMiBccmlnaHRdXzBee1xzcXJ0ezQt%0D%0AeV4yfX1keQ%3D%3D
       latex.action?latex=PVxpbnQgX3stMn1eMlxsZWZ0KCAyeV4yLVxmcmFjezF9ezJ9eV40IFxyaWdodClkeQ%3D%3D
       latex.action?latex=PVxsZWZ0WyBcZnJhY3syfXszfXleMy1cZnJhY3sxfXsxMH15XjUgXHJpZ2h0XV97LTJ9XjI9XGZy%0D%0AYWN7NjR9ezE1fQ%3D%3D$(3)积分区域D如图9-20所示,则
       latex.action?latex=XGludCBcaW50IF9EXnt9ZV57eCt5fWRcc2lnbWEgPVxpbnQgX3stMX1eMGVeeGR4XGludCBfey14%0D%0ALTF9Xnt4KzF9ZV55ZHkrXGludCBfMF4xZV54ZHhcaW50IF97eC0xfV57LXgrMX1lXnlkeQ%3D%3D
       latex.action?latex=PVxpbnQgX3stMX1eMGVeeFtlXnldX3steC0xfV57eCsxfWR4K1xpbnQgXzBeMWVeeFtlXnldX3t4%0D%0ALTF9XnsteCsxfWR4
       latex.action?latex=PVxpbnQgX3stMX1eMChlXnsyeCsxfS1lXnstMX0pZHgrXGludCBfMF4xKGUtZV57MngtMX0pZHg%3D
       latex.action?latex=PVxsZWZ0WyBcZnJhY3sxfXsyfWVeezJ4KzF9LWVeey0xfXggXHJpZ2h0XV97LTF9XjArXGxlZnRb%0D%0AIGV4LVxmcmFjezF9ezJ9ZV57MngtMX0gXHJpZ2h0XV8wXjE%3D
       =e-e-1
       1.13B2493.jpg$(4)积分区域D如图9-21所示,则
       1.13B4D68.jpg
       latex.action?latex=XGludCBcaW50IF9EXnt9KHheMit5XjIteClkXHNpZ21hID1caW50IF8wXjJkeVxpbnQgX3tcZnJh%0D%0AY3t5fXsyfX1eeSh4XjIreV4yLXgpZHg%3D
       latex.action?latex=PVxpbnQgXzBeMlxsZWZ0WyBcZnJhY3t4XjN9ezN9K3leMngtXGZyYWN7eF4yfXsyfSBccmlnaHRd%0D%0AX3tcZnJhY3t5fXsyfX1eeWR5
       latex.action?latex=PVxpbnQgXzBeMlxsZWZ0KCBcZnJhY3sxOX17MjR9eV4zLVxmcmFjezN9ezh9eV4yIFxyaWdodClk%0D%0AeQ%3D%3D
       latex.action?latex=PVxsZWZ0WyBcZnJhY3sxOX17MjR9XHRpbWVzIFxmcmFjezF9ezR9eV40LVxmcmFjezF9ezh9eV4z%0D%0AIFxyaWdodF1fMF4yPVxmcmFjezEzfXs2fQ%3D%3D