Let `I_(n)=int_(0)^(1)x^(n)sqrt(1-x^(2))dx.` Then `underset(nrarroo)(lim)(I_(n))/(I_(n-2))=`

Let I_(n)=int_(0)^(1)x^(n)sqrt(1-x^(2))dx. Then lim_(nrarroo)(I_(n))/(I_(n-2))=

Let I_(n) = int_(0)^(1)x^(n)(tan^(1)x)dx, n in N , then

Let I_(n) = int_(0)^(1)(1-x^(3))^(n)dx, (nin N) then

If I(m,n)=int_0^1x^(m-1)(1-x)^(n-1)dx , then

Let I_(n)=int_(0)^(pi//2) sin^(n)x dx, nin N . Then

Let I_(n) = int_(0)^(pi)(sin^(2)(nx))/(sin^(2)x)dx , n in N then

Let I_(1)=int_(1)^(2)(x)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then

If I_(1)=int_(0)^(oo) (dx)/(1+x^(4))dx and I_(2)=underset(0)overset(oo)int x^(2)(dx)/(1+x^(4))"then"n (I_(1))/(I_(2))=

If I_(n)=int_(0)^(2)(2dx)/((1-x^(n))) , then the value of lim_(nrarroo)I_(n) is equal to

Let I_(n)=int_(0)^(pi//2)(sinx+cosx)^(n)dx(nge2) . Then the value of n. I_(n)-2(n-1)I_(n-1) is