" I.(i) "x^(4)

If i= sqrt(-1) , prove that following (x+1+ i) (x + 1- i) (x-1 + i) (x-1-i)= x^(4) + 4

If i= (sqrt-1) , prove that following (x+1+i) (x+ 1-i) (x-1-i) (x-1+ i)= x^(4) + 4

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))=

Median of observations x_(i), such that (x_(i)^(2)-7x_(i)+12)(x_(i)^(3)-x_(i)^(2)-4x_(i)+4)=0 will be

Find the value of ( i^(4x + 1 ) - i^(4x-1 ) )/2

5.The value of (i^(4x+1)-i^(4x-1))/(2) is equal to (a) 1 (b) -1 (c) -i (d) 0

If (1+2i) (2+3i)(3+4i)=x+iy,x,y in R then x^(2)+y^(2) is

Convert the following points from polar coordinates to the corresponding Cartesian coordinates. (i) ( i i ) (iii)(( i v ) (v)2, (vi)pi/( v i i )3( v i i i ) (ix) (x))( x i ) (xii) (ii) ( x i i i ) (xiv)(( x v ) (xvi)0, (xvii)pi/( x v i i i )2( x i x ) (xx) (xxi))( x x i i ) (xxiii) (iii) ( x x i v ) (xxv)(( x x v i ) (xxvii)-sqrt(( x x v i i i )2( x x i x ))( x x x ) , (xxxi)pi/( x x x i i )4( x x x i i i ) (xxxiv) (xxxv))( x x x v i ) (xxxvii)

If sum_(i=1)^(4)(sin^(-1)x_(i)+cos^(-1)y_(i))=6pi , then \int\limitsum_(i=1)^(4)x(i)^sum(i=1)^(4)y(i) xln(1+x^(2))(e^(x^(2))/(1+e^(2x)))dx is euqal to