dx/(x乘以根号下1+x^2)怎么算

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dx/(x乘以根号下1+x^2)怎么算dx/(x乘以根号下1+x^2)怎么算dx/(x乘以根号下1+x^2)怎么算令x=tant,t=arctanxdx=(sect)^2*dtSdx/(x乘以根号下1

dx/(x乘以根号下1+x^2)怎么算
dx/(x乘以根号下1+x^2)怎么算

dx/(x乘以根号下1+x^2)怎么算
令x=tant,t=arctanx dx=(sect)^2 *dt
Sdx/(x乘以根号下1+x^2)
=S(sect)^2 /(tant*sect)dt
=S(sect)^4/tant *dt
=S(1+(tant)^2)/tant *dtant
=Sstant/tant+Stantdtant
=ln|tant|+1/2*(tant)^2+c
=ln|x|+1/2*x^2+c