anonymous
  • anonymous
integrate 4xsin^-1x dx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Psymon
  • Psymon
Looks like this would require integration by parts.
Luigi0210
  • Luigi0210
Btw @clairewee Welcome to Openstudy :)
anonymous
  • anonymous
se integration by parts

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anonymous
  • anonymous
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
  • anonymous
@Luigi0210 thanks! i tried integrating by parts and got 2x^2sin^-1x - (integration of) 2x^2 /sqrt(1-x^2)
anonymous
  • anonymous
@matricked so i change it to another form first before integrating by parts?
anonymous
  • anonymous
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
  • anonymous
its up to you
anonymous
  • anonymous
@matricked thanks!
anonymous
  • anonymous
yw hope both ways are clea to you

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