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大一高数,题目如图,谢谢
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令 x = (1/2)tanu, 则 dx = (1/2)(secu)^2du
原式 = ∫(1/2)(secu)^2du/(secu)^3 = (1/2)∫cosudu = (1/2)sinu + C
= x/√(4x^2+1) + C
原式 = ∫(1/2)(secu)^2du/(secu)^3 = (1/2)∫cosudu = (1/2)sinu + C
= x/√(4x^2+1) + C
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