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说明:^2——表示平方
∫(1,√2)1/[r√(4-r^2)]rdr
=∫(1,√2)1/√(4-r^2)dr
=∫(1,√2)1/√[1-(r/2)^2]d(r/2)
=arcsin(r/2)|(1,√2)
=arcsin(√2/2)-arcsin(1/2)
=π/4-π/6
=π/12
∫(1,√2)1/[r√(4-r^2)]rdr
=∫(1,√2)1/√(4-r^2)dr
=∫(1,√2)1/√[1-(r/2)^2]d(r/2)
=arcsin(r/2)|(1,√2)
=arcsin(√2/2)-arcsin(1/2)
=π/4-π/6
=π/12
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