`int(1)/(sqrt(u))du`

int((1)/(sqrt(x))-sqrt(x))dx

If y=tan^(-1)((u)/(sqrt(1-u^(2)))) and x=sec^(-1)((1)/(2u^(2)-1))u in(0,(1)/(sqrt(2)))uu((1)/(sqrt(2)),1), prove that 2(dy)/(dx)+1=0

int(1)/(sqrt(1+x)+sqrt(x))=

(i) int(1)/(5x+1)dx " "(ii)int(1)/(sqrt(x+1+)sqrt(x))dx

If variables x and y are related by the equation x=int_(0)^(y)(1)/(sqrt(1+9u^(2))) du, then (dy)/(dx) is equal to

Let U_(1)=1,U_(2)=1 and U_(n+2)=U_(n+1)+U_(n) for n>=1. Use mathematical induction to such that: :U_(n)=(1)/(sqrt(5)){((1+sqrt(5))/(2))^(n)-((1-sqrt(5))/(2))^(n)} for all n>1

Let u_(n)=(1)/(sqrt((5)))[((1+sqrt(5))/(2))^(n)-((1-sqrt(5))/(2))^(n)] (0=0,1,2,3,……) , prove that u_(n+1)=u_(n)+u_(n-1)(n ge 1) .

int sqrt((1-sqrt(x))/(1+sqrt(x)))dx=

Evaluate: int sqrt((1-sqrt(x))/(1+sqrt(x)))dx