【高数求大神】f(0~a) √(a^2-r^2)-(r^2)/√(a^2-r^2) dr 怎么解?_百度知道
【高数求大神】f(0~a) √(a^2-r^2)-(r^2)/√(a^2-r^2) dr 怎么解?
如题如题求大神~~
积分吗，做变换r=asint
dr=acostdtf(0~a) √(a^2-r^2)-(r^2)/√(a^2-r^2) dr=f(0~π/2)
[acost-a^2 (sint)^2)/(acost)]acost dt=f(0~π/2)
[a^2(c伐阀崔合诏骨措摊胆揩ost)^2-a^2 (sint)^2)] dt=a^2
cos2t dt=a^2
[(1/2)sin2t ]
(0~π/2) =0
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求解：为什么dw/dr=-v/r^2收藏
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