integrate 4xsin^-1x dx

Question

psymon · Answer

Looks like this would require integration by parts.

luigi0210 · Answer

Btw @clairewee Welcome to Openstudy :)

anonymous · Answer

se integration by parts

anonymous · Answer

alternately
use sin^-1x=z
or 
x=sinz   dx= cosz dz
ur question becomes 
integrate 4zsinzcosz dz =integrate 2z*2sinzcosz dz=integrate 2zsin2zdz
and then using integration by parts can be better

anonymous · Answer

@Luigi0210 thanks! i tried integrating by parts and got 
2x^2sin^-1x - (integration of) 2x^2 /sqrt(1-x^2)

anonymous · Answer

@matricked so i change it to another form first before integrating by parts?

anonymous · Answer

2x^2 /sqrt(1-x^2) 
can be written as 2(1 - (1-x^2))/sqrt(1-x^2)
=2*(1/sqrt(1-x^2)    - sqrt(1-x^2))  
now u have integrals for both .....

anonymous · Answer

its up to you

anonymous · Answer

@matricked thanks!

anonymous · Answer

yw
hope both ways are clea to you