Can't find antiderivative

[lucky_luke]

hello

I don't know how to find antiderivatives ( if integral is quotient or product,then we must find it only by multiplying the product or break up the quotient, and not with the help of some more advanced techniques ) for the three cases below

{int} (1-2x+x^2)^5 / (1-x)dx

{int}(x+3)/(x^2+6x-7)dx

{int}(x^2+2x-1)/(x^2-1)dx

thank you

 

[pka]

What have YOU tried to do with these?
For #1 & #3 divide!
For #2 you have ln(f) form.

 

[jsbeckton]

just simplify to easy problem

\(\displaystyle \begin{array}{l}
\int {\frac{{(1 - 2x + x^2 )^{5}}}{{1 - x}}} dx \\
\int {\frac{{\left[ {(1 - x)^2 } \right]}}{{1 - x}}^5 } dx \\
\int {\frac{{(1 - x)^{10} }}{{1 - x}}} dx \\
\int {(1 - x)^9 } dx \\
\end{array}\)
now try the others