计算∫(1/根号下x(1+x))dx

Question

计算∫(1/根号下x(1+x))dx

Answer 1

∫=-1/2 ∫x(1+x) dx
=-1/2(∫x2+x dx)
=-1/2(1/3 x3 +1/2 x2)
=-1/6 x3 -1/4 x2+c