3 Toughest Integral

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

7 Answers

383
Soumyabrata Mondal ·

(1) 1√2sec-1 x+1x√2+c

383
Soumyabrata Mondal ·

(1) 1√2sec-1 x+1x√2+c

1708
man111 singh ·

Somya Would You Like To explain Your naswer.......

Thanks.

\hspace{-16}$Sorry last Integral is.........\\\\\\ $\bf{\int\frac{(x-1)}{(x+1).\sqrt{x^3+x^2+x}}dx}$

383
Soumyabrata Mondal ·

1st one is

383
Soumyabrata Mondal ·

3rd one is

383
Soumyabrata Mondal ·

1st pert of 2nd one is

is it correct??

383
Soumyabrata Mondal ·

1st pert of 2nd one is

is it correct??

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