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求∫(√(1-x²))/x²dx
人气:336 ℃ 时间:2020-10-01 17:37:07
解答
∫(√(1-x²))/ x² dx
let
x = sina
dx = cosa da
∫(√(1-x²))/ x² dx
=∫ [cosa/(sina)^2] cosa da
=∫ (cota)^2 da
=∫ [(csca)^2-1] da
=-cota -a + C
= -√(1-x²) /x- arcsinx + Cdx=1/cosa da还是dx = cosa da?x= sina dadx = (cosa) da
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