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热心网友 时间:2022-05-03 00:55
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f(x) + f(1/x) = ∫(1→x) lnt/(1 + t) dt + ∫(1→1/x) lnt/(1 + t) dt
则C=∫[0,1]f(x)dx=∫[0,1]{1/(1+x)+x^2∫[0,1]f(x)dx}dx
=∫[1,1/x] uln(1+1/u) d1/u
=1/(x-1)-1/(x+3)
A(x^4+2x^2+1)+[Bx^4+(C-B)x^3+(B-C)x^2+(C-B)x-C]+(Dx^2+Ex-Dx-E)=1
=(1/4)[ln|x-1|-ln√(x^2+1)-2arctanx-(x-1)/(x^2+1)]+C
∫[x/√(2-3x^2)]dx
=lim(x-1)[2-(x+1)]/[(x+1)(x-1)]
f(-x)=-f(-x)
热心网友 时间:2022-05-03 03:48
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=1-(1/4)(cosπ-cos0)
=(1/√2) ln|csc(x+π/4) - cot(x+π/4)| | (0->π/2)
= ∫(0->π/4)cosxdx- ∫(0->π/4)sinxdx+∫(π/4->π/2)sinxdx-∫(π/4->π/2)cosxdx
=-1/6∫[1/√(2-3x^2)]d(2-3x^2)
25^(-│x+1│)-3×5^(-│x+1│)-m=0
= ∫(1→1/x) (lnt + t lnt)/[t(1 + t)] dt
=∫[1,x]ulnu/(u+1)/u^2
=f^1+f^2/y