Question

integrate 4xsin^-1x dx

Answer 1

Looks like this would require integration by parts.

Answer 2

Btw @clairewee Welcome to Openstudy :)

Answer 3

se integration by parts

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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 .....

Answer 8

its up to you

Answer 9

@matricked thanks!

Answer 10

yw
hope both ways are clea to you