" 13."(x^(3)+2)/((x-1)(x-2)^(2))

If f(x)=x^(3)+(1)/(x^(3))-4(x^(2)+(1)/(x^(2)))+13 then the value of f(2+sqrt(3))=

Resolve (x^(3)-2x^(2)-13x-12)/(x^(2)-3x-10) into partial fractions.

(2x^(2)+8x^(3)+11x-12)-(-5x^(2)-2x-13x^(3)-2)+(-4+2x-3x^(2)-5x^(3))

If f(x + 1/x ) = x^(3) + (1)/(x^(3)) -4 (x^(2)+1/x^(2))+13 then the value of f(2+sqrt(3))=

13x^(2)+9(x+1)-(2x+3)(x+2)=6

int(3x^(13)+2x^(11))/((2x^(4)+3x^(2)+1)^(4))dx

If f(x)={|x-3|, when x>=1 and (x^(2))/(4)-(3x)/(2)+(13)/(2), whenx <1 then correct statement is

If the equation ((x)/(1+x^(2)))^(2)+a((x)/(1+x^(2)))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/(2),0) (b) (oo,-(13)/(2))((-13)/(2),(13)/(2))(d)((13)/(2),oo)

The function f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/(4)",", x lt 1):} is