Question

Help with calculus for a medal?...(posting below)

Answer 1

\[\int\limits(5x \sqrt[3]{1-x^2}) dx\]
I need help solving this...

Answer 2

I've done several questions like it, but I can't seem to figure out how to solve this one in particular. This is what I have so far...
\[5\int\limits (x \sqrt[3]{1-x^2})\]
u = 1-x^2
du = -2x

Now what?

Answer 3

HI!!

Answer 4

hello

Answer 5

rewrite it as \[-\frac{5}{2}\int\sqrt[3]{u}du\]

Answer 6

then use the power rule backwards

Answer 7

Oh thank you. I kept making the fraction on the outside -1/10 to get rid of both the 5 and the 2.