what is the integration of (sin-1x)2?
what is the integration of (sin-1x)2?
Mostafijur Rahaman , 11 Years ago
Grade 12
Integral Calculus> what is the integration of (sin -1 x) 2?...
1 Answers
Rinkoo Gupta
?(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
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Approved Last Activity: 11 Years ago
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