Some Indefinite Integration

\hspace{-16}\bf{(1)\;\; \int\frac{1}{(1+x^4)^{\frac{1}{4}}}dx}$\\\\\\ $\bf{(2)\;\; \int\frac{1}{(1-x^4)^{\frac{1}{4}}}dx}$\\\\\\ $\bf{(3)\;\;\int\frac{1}{(1+x^4)}dx}$\\\\\\ $\bf{(4)\;\;\int\frac{1}{(1+x^6)}dx}$

3 Answers

1357
Manish Shankar ·

first and second

take x4 common and proceed

1357
Manish Shankar ·

third take x2 common and then try to form square of (x+1/x) or (x-1/x) and proceed

1357
Manish Shankar ·

fourth one method is partial fraction

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