Match each indefinite integral with its substitution so that the integral can be completed by ONLY this ONE substitution..

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{e^x}{(1-e^x{)}^2}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{si{n}^{-1}x*\sqrt[\phantom{2}]{1-x^2}}$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}x\sqrt[\phantom{2}]{1-x^2}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{(lnx{)}^2}{x}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{(arctanx{)}^2}{1+x^2}dx$

Choices of substitutions:

$\backslash$table$[[$A$.u=e^x,$B$.,$C$.,,],[u=si{n}^{-1}x,u=1-e^x,$D$.u=sinx,$E$.u=1-x^2,],[$F$.u=x^2,\backslash$table$[[$G$.],[u=1+x^2$