Question

integrate: 3x arcsin(x) dx

Answer 1

\[\int udv=uv-\int vdu\]
\[u=sin^{-1}; dv = 3x\ dx\]
\[du=\frac{1}{\sqrt{1-x^2}}dx; v = \frac{3x^2}{2}\]
right?

Answer 2

i can see you are going to have a lot of fun!

Answer 3

guess so. parts deparment

Answer 4

something that helps me with integration by parts is this box