`int n sqrt(n+2)*dn`

int(n)/(sqrt(n-3))dn

lim _(x to oo) (1)/(n ^(3))(sqrt(n ^(2)+1)+2 sqrt(n ^(2) +2 ^(2))+ .... + n sqrt((n ^(2) + n ^(2)))=:

int sqrt(a^(2)-n^(2))dn

int sqrt((1-n)/(1+n))dn

lim_(n rarr oo)(1)/(n^(3))(sqrt(n^(2)+1)+2sqrt(n^(2)+2^(2))+(-n)/(n sqrt((n^(2)+n^(2))))=

If sqrt(3)cos theta+s int h eta=sqrt(2), then general value of theta is n pi+(-1)^(n)(pi)/(4),nZ b.(-1)^(n)(pi)/(4)-(pi)/(3),nZ c.n pi+-(pi)/(4)-(pi)/(3),nZ d.n pi+(-1)^(n)(pi)/(4)-(pi)/(3),nZ

If I_(n)=int x^(n)sqrt(a^(2)-x^(2))dx, prove that I_(n)=-(x^(n-1)(a^(2)-x^(2))^((3)/(2)))/((n+2))+((n+1))/((n+2))a^(2)I_(n-2)

lim_ (n rarr oo) ((sqrt (n ^ (2) + n) -1) / (n)) ^ (2sqrt (n ^ (2) + n) -1)

lim_(n rarr oo)(1)/(n^(3))(sqrt(n^(2)+1)+2sqrt(n^(2)+2^(2))+...+n sqrt(n^(2)+n^(2))) is equal to