Question

Integration. I am not sure if I am doing this right, can you confirm? (See below)

Answer 1

\[\int\limits_{}^{}(2z ^{2}(1-2z ^{3})^{5})dz\]

Let,
\[u=(1-2z ^{3}), du=(-6z ^{2})dz\]

Answer 2

After some work, I got:
\[-2/6\int\limits_{}^{}(u)^{5}du\]