求积分1+tan(x^2)

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求积分1+tan(x^2)求积分1+tan(x^2)求积分1+tan(x^2)自从tan(x²)是不可积的,所以这个积分∫[1+tan(x²)]dx无解证明:3-sin^4x-co

求积分1+tan(x^2)
求积分1+tan(x^2)

求积分1+tan(x^2)
自从tan(x²)是不可积的,所以这个积分∫[1+tan(x²)] dx无解

证明: 3-sin^4 x-cos^4 x =1+(1-sin^4 x)+(1-cos^4 x) =1+(1-sin^2 x)(1+sin^2 x)+(1-cos^2 x)(1+cos^2 x) =1+(cos^2 x)(1+sin^2)+(sin^2 x)(1+cos^2 x) =1+cos^2 x+sin^2 x+2(sin^2 x)(cos^2 x) =2+2(sin^2 x)(cos^2 ...

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证明: 3-sin^4 x-cos^4 x =1+(1-sin^4 x)+(1-cos^4 x) =1+(1-sin^2 x)(1+sin^2 x)+(1-cos^2 x)(1+cos^2 x) =1+(cos^2 x)(1+sin^2)+(sin^2 x)(1+cos^2 x) =1+cos^2 x+sin^2 x+2(sin^2 x)(cos^2 x) =2+2(sin^2 x)(cos^2 x) 所以 (3-sin^4 x-cos^4 x)/2cos^2 x =[2+2(sin^2 x)(cos^2 x)]/2cos^2 x =sec^2 x+sin^2 x =1+tan^2 x +sin^2 x
很不错哦,你可以试下
hrSp◎まp◎まq四l些瘛f丕邸rSp◎まa57330360872011-9-14 21:44:32

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