If `underset( i = 1) overset( 2n) Sigma cos^(-1) x_(i) = 0`,then find the value of `underset(i = 1) overset(2n) Sigma x_(i)`

If Sigma_(i=1)^(2n) cos^(-1) x_(i) = 0 ,then find the value of Sigma_(i=1)^(2n) x_(i)

If Sigma_( i = 1)^( 2n) sin^(-1) x_(i) = n pi , then find the value of Sigma_( i = 1)^( 2n) x_(i) .

Let x_(1) lt x_(2) lt x_(3) lt x_(4) lt x_(5) and y_(1) lt y_(2) lt y_(3) lt y_(4) lt y_(5) are in AP such that underset(I = 1)overset(5)(sum) x_(i) = underset(I = 1)overset(5)(sum) y_(i) = 25 and underset(I =1)overset(5)(II) x_(i) = underset(I = 1)overset(5)(II) y_(i) = 0 then |y_(5) - x_(5)| A. 5//2 B. 5 C. 10 D. 15

If overset(4)underset(-1)int f(x)=4 and overset(4)underset(2)int (3-f(x))dx=7 , then the value of overset(-1)underset(2)int f(x)dx , is

If n in NN , then find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) .

"If" n in "and if "(1+ 4x +4 x^2)^n=underset(r=0)overset(2n)Sigma a_rx^r, "where" a_0,a_1,a_2,.....a_(2n) "are real number" The value of 2 underset(r=0) overset (n) Sigma_(2r) is

If I=underset (0)overset(1) int cos{ 2 "cot"^(-1)sqrt((1-x)/(1+x))}dx then

Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2) . The value of underset(-2)overset(4)intf(x)dx is :

If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a_(r)x^(r)(1-x)^(3n-2r) , then the value of a_(r) , where n in N is

"If" n in "and if "(1+ 4x +4 x^2)^n=Sigma_(r=0)^(2n) a_rx^r, "where" a_0,a_1,a_2,.....a_(2n) "are real number" The value of the 2 underset(r=1) overset (n) Sigma_(2r-1) is