`int e^((n)/(sqrt(1-n^(2))))(n+sqrt(1-n^(2)))/((1-n^(2))^(2))dx`

int(1)/(sqrt(8+3x-n^(2)))dx

lim_(n rarr0)(sqrt(1+n^(2))-sqrt(1-n+n^(2)))/(3^(n)-1)

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

int(x^(n-1))/(sqrt(1+4x^(n)))dx

The value of lim_(nto oo)(1/(sqrt(n^(2)))+1/(sqrt(n^(2)+1))+…..+1/(sqrt(n^(2)+2n))) is

Evaluate: int e^(x)(1+nx^(n-1)-x^(2n))/((1-x^(n))sqrt(1-x^(2n)))dx

If the major axis is n times the minor axis of the ellipse,then eccentricity is 1) (sqrt(n-1))/(n) 2) (sqrt(n-1))/(n^(2)) 3) (sqrt(n^(2)-1))/(n^(2)) 4) (sqrt(n^(2)-1))/(n)

lim_(n rarr oo)[(1)/(sqrt(2n-1^(2)))+(1)/(sqrt(4n-2^(2)))+(1)/(sqrt(6n-) 3^(2)))+...+(1)/(n)]

int(sqrt(1+x^(2))-x)^(n)dx

lim_(nrarroo)((1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+....+(1)/(sqrt(n^(2)-(n-1)^(2)))) is equal to