Question

find the general antiderivative of.........

Answer 1

\[\int\limits_{}^{}x/\left( \sqrt[3]{1-x ^{2}} \right)dx\]

Answer 2

my answer (-3/4)(1-x^2)^(2/3) + K

Answer 3

maybe try \(u=1-x^2, du=2xdx, \frac{1}{2}du=dx\) and then use
\[\frac{1}{2}\int\frac{du}{\sqrt[3]{u}}\] and the power rule backwards

Answer 4

is it right?

Answer 5

yes and i was wrong because i forgot the minus sign
you are right

Answer 6

thank u, yay