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what is the integration of (sin -1 x) 2?

what is the integration of (sin-1x)2?

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago

?(sin-1x)2dx

put sin-1x=t => x=sint

dx=cost dt

?t2costdt

=t2sint-?2t.sintdt

=t2sint-2[-tcost+?costdt]

=t2sint+2tcost-2sint +C

=(sin-1x)2x+2sin-1xv(1-x2)-2x+ C

Thanks & Regards

Rinkoo Gupta

AskIITians Faculty

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