解 [tex=22.0x2.286]Lcrz1ulZxDAAr5wf5G+Nse8So0U7Q0STA9aKhuPqsJsPKqKCNs1MjGsHiqWds49RzddTHBe+IKSg7qf+N7GydJTjpFLOwbkFnpXh9IUREgTqSM6xE3druVSuXfdNhY3g5nTSZ6384cELmZkaNjqQ9kTV3x43u84Hf6E7hYQM5rk=[/tex]；当[tex=2.286x1.286]eURRLN0azYBNN+Lh6BrAUw==[/tex]时，[tex=14.214x2.214]Lcrz1ulZxDAAr5wf5G+NsY72y9y48pf3gslZLoewjPK3dihe/CxCUJ/AZ9keHy2NDCCVamKUGwkQHxLGJQHBYMI0IdfZfsff5JimDfU46TI=[/tex]。[tex=0.714x1.286]Mjp1ERIg12NQkOrp1BseMg==[/tex][tex=20.214x3.5]p0+OH7YNKfNLWlS8e6PskqZQmy0CrtEDRr2Ogwzcej4ksY0uq2vj7Ozzi9DoyHRx9WOxaUQAxR8ZyHxQYQlMg2AxK8mB/7phOXIdswboZ7APY5nv/IBkJAAtwoXwm3yb7i67RctD9u9pfs6EM5JZ3r5YeXtkxpn6yBt9+76Iyp6zURgmWwedxOOurwcfU4CHbLdhkGL4uy/Ln5GpThw+rhNPYgMflK2b5kNfhkCB3TPw0YRgXuOFHnPTeNcYhKE5Tott3DI0UHlJ693BoimQDA==[/tex]（1）当[tex=2.286x1.286]eURRLN0azYBNN+Lh6BrAUw==[/tex]时，原式[tex=2.786x1.286]LdZxg8ZkKs/AFcNxTRFrNA==[/tex]，原广义积分发散。（2）当[tex=2.286x1.286]6T11TlvSr5csjeOcKvNqDw==[/tex]时，原式[tex=12.071x2.571]WPfwYTnRqUurLIsYwTAgs/tpzuuzYQhJMCUgFSs3Ark5WkwQxuPJAWbW8XRgup4z/WEjBBKiNrqJpO6rKEHHJA06p6OHUl8xwkSZ9LincbI=[/tex]，也发散。（3）但[tex=2.286x1.286]qEpSh49SvBoNphcvks4d6w==[/tex]时，原式[tex=16.857x2.571]WPfwYTnRqUurLIsYwTAgs9ceWxcB5AfGOLcCerhWSD5xeCo/NVAleUiU1Q8ZTq69wVmsOIrVVL3jdK2Kr3LZK82NyG2jH5n6Euo2SYtPhlEWL7HSDlMqL/ddsHS0jyzZPr/dOdqgkejTUkze2kfa2g==[/tex]。这时原广义积分收敛。（4）当[tex=2.286x1.286]qEpSh49SvBoNphcvks4d6w==[/tex]时，记[tex=10.286x2.571]eriP8H113luk4I0xaRBQEqLefxIegkbTH9dMLYW1RRx4LntDH09rHsM6KK5mq/NfYHr2oRURvrYmOS3j71W3Jw==[/tex]，则[tex=21.643x2.214]MgkGbspNkcO4p6ddaLYLutwe+0BIFVri6McTPX+q9bkSega8mnaFaFpWkYocF1/I/yCBB1Vj9r6mm8TMBkPZV8deqTSZVzg7LuXuVGyzxPCEmuR86311Iet++T7uMZ9SAXscGw2REYiQQX2KvkMTL3M0FTNYI6nVk4/5RsjhGhQ=[/tex]。令[tex=3.929x1.286]xiHJGrow1qVACfsrazjytxY+Bi7xVMkVO/y+0B4mK+o=[/tex]，因为[tex=2.286x1.286]qEpSh49SvBoNphcvks4d6w==[/tex]，所以[tex=9.0x2.571]j/kkt6h0YyMY0zClBsxc0ExKgEEqTw0gXXbozZ/4UWayAXZrDvxcKqNGRR0Ch3H52jHFt8lugaDX9WXYdfUxQg==[/tex]，从而[tex=7.857x2.0]NU9XUDUSiSvy9W9o1cz9J9YypzR/2LZocosn7/mMKcw=[/tex]，[tex=6.143x2.0]1j1GdDq8BfDdWhKNCVIiEsPOCuw26ALkoy5PbXrCoZg=[/tex]，此[tex=0.571x1.286]pc/qlnA3cxu8Ag9jp3tYHQ==[/tex]值为唯一驻点。当[tex=6.143x2.0]PyjWx2UXI9ThrAD/sMCOCCRokNIj8OIm7Gg0nF/eMbI=[/tex]，即[tex=7.857x2.0]NU9XUDUSiSvy9W9o1cz9Jwd6brqQ3aFWaM+c+NfYmpA=[/tex]时，[tex=3.929x1.286]h0EAajtyaQMRFTIUpUw9Rd3WkuxRlXGTNMPgZmWXbF8=[/tex]；反之，当[tex=6.143x2.0]F7G/aRZKYowSxIftfm61fTKCYJ2HviHryvWYp+nIaXQ=[/tex]时，[tex=3.929x1.286]mLAKMX1Pqxl+JSZso+yRqKipku1oe9B8BPH8DEgszfs=[/tex]，所以该驻点是极小值点。又当[tex=2.286x1.286]qEpSh49SvBoNphcvks4d6w==[/tex]，即[tex=5.071x1.286]CYh3+83HhooSaykkfC9d8pu20x7TERVsbM1nulzuVRc=[/tex]时，在此区间上[tex=1.857x1.286]eRe70QjYKlrA3RvkO/+iRA==[/tex]没有边界值进行比较，故唯一驻点[tex=6.5x2.0]Ufksf4F45jnqjQu+0Up7IgNUg99DzQlw54pBQm+/PH8=[/tex]处的极小值[tex=2.286x1.286]wYXGfgRPDaVVv+nF6wvIag==[/tex]就是[tex=2.286x1.286]qEpSh49SvBoNphcvks4d6w==[/tex]的最小值。