If `U_n=int_0^1x^n(2-x)^ndxa n dV_n=int_0^1x^n(1-x)^n dx ,n in N ,` and if `(V_n)/(U_n)=1024 ,` then the value of `n` is________

U_(n)=int_(0)^(1)x^(n)(2-x)^(n)dx and V_(n)=int_(0)^(1)x^(n)(1-x)^(n)dx,n in N and if (V_(n))/(U_(n))=1024, then the value of n is

For U_n=int_0^1x^n(2-x)^n dx ; V_n=int_0^1x^n(1-x)^ndxn in N , which of the following statement(s) is/are true? (a) U_n=2^n V_n (b) U_n=2^(-n)V_n U_n=2^(2n)V_n (d) V_n=2^(-2n)U_n

For U_n=int_0^1x^n(2-x)^n dx ; V_n=int_0^1x^n(1-x)^ndxn in N , which of the following statement(s) is/are true? U_n=2^n V_n (b) U_n=2^(-n)V_n U_n=2^(2n)V_n (d) V_n=2^(-2n)U_n

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

For U_(n)=int_(0)^(1)x^(n)(2-x)^(n)dx;V_(n)=int_(0)^(1)x^(n)(1-x)^(n)dxn in N which of the following statement(s) is/are true? (a) U_(n)=2^(n)V_(n)( b) U_(n)=2^(-n)V_(n)(c)U_(n)=2^(2n)V_(n)(d)V_(n)=2^(-2n)U_(n)

int_n^(n+1)f(x) dx=n^2+n then int_(-1)^1 f(x) dx =

If I_(n)=int_(0)^(1)x^(n)e^(-x)dx for n in N, then I_(7)-I_(6)=

If = int_(0)^(1) x^(n)e^(-x)dx "for" n in N "then" I_(n)-nI_(n-1)=