Question

\[\int\limits_{}^{}x^{3}dx/\sqrt{2 + x^{4}}\]

How do I solve this? I assume I use trigonometric substitution but when I do I'm still left with a very ugly integral.

Answer 1

how about the sub\[u=2+x
^4\]??

Answer 2

u = 2 + x^(4)
du/3 = x^(3)dx

1/(u)^(1/2)
makes sense

thanks