Integrate : 1/(1+square root x ) square root x

Answers (1)

Solution: We have , 

               I=int frac1(x-1)sqrtxdx    Put   sqrtx=tRightarrow frac12sqrtxdx=dt

           I=2int frac1t^2-1dt=2	imes frac12lnleft | fract-1t+1 
ight |+c=lnleft | fracsqrtx-1sqrtx+1 
ight |+c

               

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