Q117 of 865 Page 19

Evaluate


we can put sin-1x=t;dx/(1-x2)1/2=dt;(1-x2)=cos2t and x=sint.



By by parts,


…….



=t sec t-log (tan t + sec t) + C'


Put cost=u;


-sin t dt=du



=-(-u-1 )+c


=sec t + C


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