求解一道关于三重积分的数学题求∫∫∫ |√(x²+y²+z²) -1|dV(注意有绝对值),其中Ω:√(x²+y²)≦z≦1.答案是π/6*(√2 -1) ,好的话会再加分!
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 10:46:15
![求解一道关于三重积分的数学题求∫∫∫ |√(x²+y²+z²) -1|dV(注意有绝对值),其中Ω:√(x²+y²)≦z≦1.答案是π/6*(√2 -1) ,好的话会再加分!](/uploads/image/z/12433538-2-8.jpg?t=%E6%B1%82%E8%A7%A3%E4%B8%80%E9%81%93%E5%85%B3%E4%BA%8E%E4%B8%89%E9%87%8D%E7%A7%AF%E5%88%86%E7%9A%84%E6%95%B0%E5%AD%A6%E9%A2%98%E6%B1%82%E2%88%AB%E2%88%AB%E2%88%AB+%7C%E2%88%9A%28x%26%23178%3B%2By%26%23178%3B%2Bz%26%23178%3B%29+%EF%BC%8D1%7CdV%EF%BC%88%E6%B3%A8%E6%84%8F%E6%9C%89%E7%BB%9D%E5%AF%B9%E5%80%BC%EF%BC%89%2C%E5%85%B6%E4%B8%AD%CE%A9%EF%BC%9A%E2%88%9A%28x%26%23178%3B%EF%BC%8By%26%23178%3B%29%E2%89%A6z%E2%89%A61.%E7%AD%94%E6%A1%88%E6%98%AF%CF%80%2F6%2A%28%E2%88%9A2+%EF%BC%8D1%29+%2C%E5%A5%BD%E7%9A%84%E8%AF%9D%E4%BC%9A%E5%86%8D%E5%8A%A0%E5%88%86%21)
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