x^7 / (2x^4 +5)^1/3 dx ?
If so, start by substituting
x^4 for u
x^4 = u
4x^3dx = du
dx = du/4x^3
Substitute back in. We're only going to substitute dx at first
x^7/ (2x^4 +5)^1/3 * du/4x^3
Note that the x^7/4x^3 will reduce to x^4/4, which allows us to substitute it for u.
1/4 (integral ( u/(2u +5)^1/3 du)) = 1/4 * 3/40 (2u +5)^(2/3) * (4u -15)
Substitute u back in and we arrive at
1/4 * 3/40 * (2x^4 +5)^(2/3) * (4x^4 -15)
Hope that helped. -Edit-