[" 4.1"],[" I: "],[" (ii) "x^(2)-2x=(-2)(3-x)]

Integrate the following with respect to x. (i) (1 - x^3)^(2) " " (ii) (x^2 - x + 1)/(x^3)

If 2(x^(2)+1)=5x , find : (i) x-(1)/(x) (ii) x^(3)-(1)/(x^(3))

Solve the following equations : (i) 2x^(2)-(3+7i)x-3+9i=0 (ii) (2+i)x^(2)-(5-i)x+2(1-i)=0

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0

Expand : (i) (3a-5b)^(2) " " (ii) (a+(1)/(a))^(2) " " (iii) (2x-(1)/(2x))^(2) .

Find the remainder when x^(3)+3x^(2)+3x+1 is divided by : (i) x+1 " " (ii) x-(1)/(2) " " (iii) x " " (iv) x+pi " " (v) 5+2x

Find the remainder when x^(3)+3x^(2)+3x+1 is divided by : (i) x+1 " " (ii) x-(1)/(2) " " (iii) x " " (iv) x+pi " " (v) 5+2x

Draw the graphs of (i) y=x^(2)(x-1)|x-2| (ii) y=x^(3)(x-1)|x-2|

Draw the graphs of (i) y=x^(2)(x-1)|x-2| (ii) y=x^(3)(x-1)|x-2|