Indefinite Integral

\hspace{-16}$(i) $\bf{\int\frac{1}{1+\sin^4 x}dx}$\\\\\\ (ii) $\bf{\int\frac{1}{1+\cos^4 x}dx}$

1 Answers

106

Asish Mahapatra ·2013-07-02 06:44:11

For (i), multiply num and den with sec²x and substitute tanx = t then partial fractions

Similarly for (ii) except multiply with cosec²x and substitute cotx = t

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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