Question

integral 2z/(z^2+1)^1/3 dz

Answer 1

Answer on Question #41903 – Math – Integral Calculus:

$$\int \frac {2 z d z}{(z ^ {2} + 1) ^ {\frac {1}{3}}} = \int \frac {d (z ^ {2} + 1)}{(z ^ {2} + 1) ^ {\frac {1}{3}}} = [ z ^ {2} + 1 = t ] = \int t ^ {- \frac {1}{3}} d t = \frac {t ^ {\frac {2}{3}}}{\frac {2}{3}} + C = \frac {3}{2} (z ^ {2} + 1) ^ {\frac {2}{3}} + C.$$

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