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int(dx)/((1+x^(4))^(1/4))...

int(dx)/((1+x^(4))^(1/4))

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int(x)/(1+x^(4))dx

int(dx)/(x^(4)-1)

The integral int(dx)/((x^(4)-1)^((1)/(4))) equal:

int(dx)/((1-2^(x))^(4))dx

int(x)/(1+x^(4))dx=

int (x)/(1+x^(4))dx=

int(dx)/(x^(4)+x^(2)+1)

Let I_1=int_0^1 (dx)/(1+x^(1/3)) and I_2=int_0^1 (dx)/(1+x^(1/4)) then 4I_1+3I_2=

int ((x^(4)+1)dx)/((1-x^(4))^((3)/(2)))

int(1+x^(4))/((1-x^(4))^((3)/(2)))dx