arctan(y/x)对y求导怎么求啊?再对x积分呢?
arctan(y/x)对y求导是什么?
答案说是x/(x^2+y^2),不是x^2/(x^2+y^2)么?怎么算的?给个步骤好吗?
再对xdx/(x^2+y^2)求积分又是怎么求?详细点好吗?
人气:101 ℃ 时间:2020-06-07 19:43:36
解答
arctan(y/x)对y求导此处x、y均为独立的函数,对y求导可将x看成常数[arctan(y/x)]'={1/[1+(y/x)^2]}*(y/x)'={1/[1+(y/x)^2]}*1/x=x/(x^2+y^2)对xdx/(x^2+y^2)求积分对x积分可将y看成常数∫xdx/(x^2+y^2)=1/2∫dx...
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