• 2022-07-26
    求由曲线 [tex=11.143x1.571]kS5/E8RlvrILx5ClC5INNhGjb6BOLSCuFCyTHlpRO4ucE02vqyrBfIz87YjxQrRS[/tex] 所围图形的面积
  • 解:画出曲线所围图形的草图,求交点,由 [tex=7.214x3.5]7EJHVCtO2IWq3KpdB+jQsmtD1f6b95EMy5x3P+wDx3qEwCiZQ89lKUUVQ6DYJeepk8lYYtwd7unYDVfvcwz05fXVi3oOioaSoJ75TujllWY=[/tex] 解得 [tex=2.857x1.357]TpFANfIVfLjI2KdZ/a5L/g==[/tex]; 由 [tex=7.0x3.357]7EJHVCtO2IWq3KpdB+jQsjX6Rn12RbmQ/6n3T3R+b1na3VzS/asvYY64iyxlI78On3CqwdZ70lDlxCD9nSHB2musP0pNF2gREbgYn3ci9+4=[/tex],解得 [tex=2.857x1.357]c/HfjIxNyMV/RL9+gRr7Gw==[/tex],由 [tex=5.357x2.786]7EJHVCtO2IWq3KpdB+jQsjX6Rn12RbmQ/6n3T3R+b1ne41tQ8CuxAZjmuZkYoZs1TG6lmOOBhHleMTjk6MqPQQ==[/tex],解得 [tex=2.786x1.357]9P+zQP+roKqmimAIoQ/7wQ==[/tex],再根据图形确定 [tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 为积分变量,且 [tex=3.286x1.357]P4bFrq1Y2Xf09lUts8bgeg==[/tex],故有[tex=16.214x8.929]ifE9NWj3X6IpRVSt3T5ITlZrJihTgT7CviK6dNiFWYbwl5VAZEyiH2uSP717BF+wAP7btaiBiZKpdETu4zcPMv8gIo5/GwEiDBYmH9f6CX9R0W7Chk0Av1Gc7JmYn7GwqNL/S3k1tklK/kW4qCn2H1K1aIwA6AKv4G3wdhMHI0GgGrKmQkcn2IR45Kd9UVeEu+MEdbvnUp05/IvDiXMZ5CehyyzH8/RgTZCZDxedw4QMMCKWSW4E38oRfLHujKgutUrZz0K3XlWkXbsFk3F4HD6gPqCk5ctT/KNtLw8SZIkVW1pRY+3kOUwpamvTuI/1/hzdubHTU7twKnF9ONw8qDO6p9VO0CkABc6WUdk3WlKLgJ+qKOFFLs1I5F3O85XWekEcUeAMdWZiHFJaeyFyLw==[/tex][img=355x299]177c53a81f5b0d5.png[/img]

    内容

    • 0

      求由曲线[tex=5.643x1.286]uooCm0uCIOMSxR3hLEtBDR/EYkUaeGheDziwx+k5A5U=[/tex]与纵轴所围图形面积。

    • 1

      求由曲线[tex=2.714x1.357]tYKDuwYJCljyjASxhvmvNg==[/tex]与过点(-1,e)的切线及x轴所围图形的面积。

    • 2

      求曲线 [tex=11.643x1.5]UZkvghi9rCiIqr1ORoQBfM0lH30NEzMCirG0sObAz7s=[/tex] 所围的图形面积.

    • 3

      求曲线 [tex=13.929x1.357]yJ+e8KDtdW+1QXlBgsC3JwOvDC0COSBwD9emIGwslA8=[/tex] 所围的图形面积.

    • 4

      求由下列各曲线所围图形的面积:[tex=5.071x1.357]sjuL3DxiX0EhRHuJ/f+43vgTolkD5zqcDIeMGGuQ7k0=[/tex]