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∫1/(x²+y²)∧(3/2))dx怎么算?
人气:121 ℃ 时间:2020-06-09 16:40:53
解答
y看做常数令x=ytanu,则:(x²+y²)^(3/2)=y³sec³u,dx=ysec²udu∫1/(x²+y²)^(3/2))dx=∫ ysec²u/(y³sec³u) du=(1/y²)∫ cosu du=(1/y²)sinu + C=(1/y...
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