Q110 of 865 Page 19

Evaluate



Choose u in these order LIATE(L-LOGS,I-INVERSE,A-ALGEBRAIC,T-TRIG,E-EXPONENTIAL)


u=sin-1 v=1



Put


dx=2tdt



Now put t=sinu;


dt=cos u du;



=cos u




…(Here we can substitute sin2x=(1-cos2u)/2)





Put


I=


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