Question

integral x^3/sqrt(1+x^4)

Answer 1

well its looks a bit like the numerator is the derivative of the denominator to me...

what would that indicate...

Answer 2

as a hint whats the derivative of

\[y = (1 = x^4)^{\frac{1}{2}}\]

Answer 3

you can use substitution here
let u = (1+x^4)
du = 4x^3dx
therefore
x^3dx = du/(4)

from there, you can see that
\[\frac{ 1 }{ 4 } \int\limits \frac{ du }{ u^{\frac{ 1 }{ 2 }} }\]
Then apply the integration principle. but take note that u = 1+x^4

Answer 4

thank u Yttrium but where I'm having trouble is finding the integration principle can u help me?

Answer 5

do you know power rule?