Write down the indefinite integrals of the following functions :- \[ \frac{1}{x+1}, \frac{x}{x+1...

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Write down the indefinite integrals of the following functions :-
\[
\frac{1}{x+1}, \frac{x}{x+1}, \frac{x}{x^{2}+1}, \frac{x^{2}}{x^{3}+1}, \frac{x^{n-1}}{x^{n}+a^{n}}
\]
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