有关高数极坐标下二重积分的问题求A=A=∫∫(x²+y²)^(1/2)dxdy,D是1≤x²+y²≤4.因为D关于x,y轴对称,而(x²+y²)^(1/2)是关于x、y的偶函数,所以A=4∫∫(D1)(x²+y²)^(1/2
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/02 14:17:40
![有关高数极坐标下二重积分的问题求A=A=∫∫(x²+y²)^(1/2)dxdy,D是1≤x²+y²≤4.因为D关于x,y轴对称,而(x²+y²)^(1/2)是关于x、y的偶函数,所以A=4∫∫(D1)(x²+y²)^(1/2](/uploads/image/z/924447-39-7.jpg?t=%E6%9C%89%E5%85%B3%E9%AB%98%E6%95%B0%E6%9E%81%E5%9D%90%E6%A0%87%E4%B8%8B%E4%BA%8C%E9%87%8D%E7%A7%AF%E5%88%86%E7%9A%84%E9%97%AE%E9%A2%98%E6%B1%82A%3DA%3D%E2%88%AB%E2%88%AB%EF%BC%88x%26%23178%3B%2By%26%23178%3B%EF%BC%89%5E%281%2F2%29dxdy%2CD%E6%98%AF1%E2%89%A4x%26%23178%3B%2By%26%23178%3B%E2%89%A44.%E5%9B%A0%E4%B8%BAD%E5%85%B3%E4%BA%8Ex%2Cy%E8%BD%B4%E5%AF%B9%E7%A7%B0%2C%E8%80%8C%EF%BC%88x%26%23178%3B%2By%26%23178%3B%EF%BC%89%5E%281%2F2%29%E6%98%AF%E5%85%B3%E4%BA%8Ex%E3%80%81y%E7%9A%84%E5%81%B6%E5%87%BD%E6%95%B0%2C%E6%89%80%E4%BB%A5A%3D4%E2%88%AB%E2%88%AB%EF%BC%88D1%EF%BC%89%EF%BC%88x%26%23178%3B%2By%26%23178%3B%EF%BC%89%5E%281%2F2)
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来源:学生作业帮助网 编辑:作业帮 时间:2024/08/02 14:17:40