关于球体体积我学完了二重积分后就在想能不能用二重积分求出球体体积,后来推导出了公式,但是是错的,8∫∫(D)(r²-x²-y²)^0.5dσ=8∫(0,r)dx∫[0,(r²-x²)^0.5](r²-x²-y²)^0.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 23:27:44
![关于球体体积我学完了二重积分后就在想能不能用二重积分求出球体体积,后来推导出了公式,但是是错的,8∫∫(D)(r²-x²-y²)^0.5dσ=8∫(0,r)dx∫[0,(r²-x²)^0.5](r²-x²-y²)^0.](/uploads/image/z/10779300-36-0.jpg?t=%E5%85%B3%E4%BA%8E%E7%90%83%E4%BD%93%E4%BD%93%E7%A7%AF%E6%88%91%E5%AD%A6%E5%AE%8C%E4%BA%86%E4%BA%8C%E9%87%8D%E7%A7%AF%E5%88%86%E5%90%8E%E5%B0%B1%E5%9C%A8%E6%83%B3%E8%83%BD%E4%B8%8D%E8%83%BD%E7%94%A8%E4%BA%8C%E9%87%8D%E7%A7%AF%E5%88%86%E6%B1%82%E5%87%BA%E7%90%83%E4%BD%93%E4%BD%93%E7%A7%AF%2C%E5%90%8E%E6%9D%A5%E6%8E%A8%E5%AF%BC%E5%87%BA%E4%BA%86%E5%85%AC%E5%BC%8F%2C%E4%BD%86%E6%98%AF%E6%98%AF%E9%94%99%E7%9A%84%2C8%E2%88%AB%E2%88%AB%28D%29%28r%26sup2%3B-x%26sup2%3B-y%26sup2%3B%29%5E0.5d%CF%83%EF%BC%9D8%E2%88%AB%280%2Cr%29dx%E2%88%AB%5B0%2C%28r%26sup2%3B-x%26sup2%3B%29%5E0.5%5D%28r%26sup2%3B-x%26sup2%3B-y%26sup2%3B%29%5E0.)
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