
求此题的定积分?
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∫(π/4->π/3) dx/[(cosx)^2.(cotx)^(1/4) ]
=∫(π/4->π/3) (tanx)^(1/4) . (secx)^2 dx
= (4/5)[ (tanx)^(5/4)]|(π/4->π/3)
=(4/5) [ (√3)^(5/4) - 1 ]
=(4/5) [ 3^(5/8) - 1 ]
=∫(π/4->π/3) (tanx)^(1/4) . (secx)^2 dx
= (4/5)[ (tanx)^(5/4)]|(π/4->π/3)
=(4/5) [ (√3)^(5/4) - 1 ]
=(4/5) [ 3^(5/8) - 1 ]
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