" 7.(i) "x^(3)-2x^(2)-x+2

Evaluate: (i) x^(2)+4x+7 when x=2+sqrt(-3) (ii) 2x^(3)-9x^(2)-10x+13 when x=3+sqrt(-5)

Evaluate: (i) int(x^(3)-3x^(2)+5x-7+x^(2)a^(x))/(2x^(2))dx (ii) int(cos x)/(1+cos x)dx

If 2x=3+5i, then what is the value of 2x^(3)+2x^(2)-7x+72 ?

Resolve into Partial Fractions (i) (3x+7)/(x^(2)-3x+2)

Resolve into Partial Fractions (i) (3x+7)/(x^(2)-3x+2)

Factorize following expressions (i) x^(3)-6x^2+11x-6 " (ii)" 2x^3+9x^2+10x+3 (iii) 2x^3-9x^2+13x-6" (iv)" x^6-7x^2-6

If x= -2 - sqrt3i , where i= sqrt(-1 , find the value of 2x^(4) + 5x^(3) + 7x^(2)-x+ 41

If x=2 and y=3, then find the values of (i) (2x+3y)/(4x-3y) " "(ii) (2x^(2)-7x+2y)/(2y^(2)-7y+2x)