
高等数学。 请问图中题怎么做??。,?
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若sect>0,原式=∫sect/tan^4 tdt
=∫sect/(sec²t-1)²dt
=∫sect/[(sect+1)²(sect-1)²]dt
=1/4*∫1/(sect-1)²dt-1/4*∫1/(sect+1)²dt
=∫sect/(sec²t-1)²dt
=∫sect/[(sect+1)²(sect-1)²]dt
=1/4*∫1/(sect-1)²dt-1/4*∫1/(sect+1)²dt
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