Integral x akar (1 + x) dx = ...?

misalkan y²=1+x
y²-1 = x
2y dy = dx

masukin ke soal awal
integral x√(1+x) dx
= integral (y²-1).y.2y dy
= integral (3y⁴-2y²) dy
= (3/5)y^5 - (2/3)y^3 + c