`(2x^2+2)-(2x^3)`

If (2+x)(2+x^2)(2+x^3)………..(2+x^100)=sum_(r=0)^n k_rx^r, then n= (A) 2550 (B) 5050 (C) 2^8 (D) none of these

If (y^(3)-2x^(2)y)dx+(2xy^(2)-x^(3))dy=0, then the value of xysqrt(y^(2)-x^(2)), is

The domain of definition of f(x)=log_(1.7)((2-phi'(x))/(x+1))^(1//2) , where phi(x)=(x^(3))/(3)-(3)/(2)x^(2)-2x+(3)/(2) , is

Evaluate: (2x+3y)^2 (ii) (2x-3y)^2 (2x+3y)2x-3y)dot

If f(x)+2f(1-x)=x^2+2AAx in Rt h e nf(x) is given by ((x-2)^2)/3 2. x^2-2 3. (x-2)^2 4. (x^2-2)/3 (x^2)/3-2

Prove that the coefficient of x^3 in the expansion of (1+x+2x^2) (2x^2 - 1/(3x))^9 is -224/27.

If x = 3, what is the sum of 2x(2x+1), (2x+2),(2x+3), and (2x+4) ?

Simplify : -3(1-x^(2)) - 2{x^(2) - (3-2x^(2))}

Evaluate: lim_(xto oo)(2x^(2)-2x-sin^(2)x)/(3x^(2)-4x+cos^(2)x)

Find is the coefficient of x^(4) in the power series expansion of (3x^(2)+2x)/((x^(2)+2)(x-3)) specifying the interval in which the expansion is valid.