" (3) "1f(3x+(1)/(2))(3x-(1)/(2))=9x^(2)-p" then the "

If (3x+(1)/(2))(3x-(1)/(2))=9x^2-p then the value of p is

int_(1)^(2)(3x)/(9x^(2)-1)dx

If f(x) =|(1, x, x+1),(2x, x(x-1), x(x+1)), (3x(x-1), 2(x-1)(x-2), x(x+1)(x-1))| then what is f(-1) +f(0) +f(1) equal to ?

(3x - 9)/( (x - 1 )(x + 2 )(x^(2)+1))

If f:(0,oo)rarr N and f(x)=[(x^(2)+x+1)/(x^(2)+1)]+[(4x^(2)+x+2)/(2x^(2)+1)]+[(9x^(2)+x+3)/(3x^(2)+1)]...+[(n^(2)x^(2)+x+n)/(nx^(2)+1)],n in N." Then lim_(n rarr oo)((f(x)-n)/((f(x))^(2)-(n^(3)(n+2))/(4)))=l, then the value of l^(10)-10^(l) is (where [.] denotes G.I.F and N set of natural numbers)

If (1-p)(1+3x+9x^(2)+27x^(3)+81x^(4)+243x^(5))=1-p^(6),p!=1, then the value of (p)/(x) is a (1)/(3) b.3 c.(1)/(2) d.2

If (1-p)(1+3x+9x^(2) +27x^(3)+81x^(4)+243x^(5)) = 1-p^(6) p ne 1 then the value of (p)/(x) is

If f(x)=(1+x)(2+x^(2))^((1)/(2))(3+|x^(3)|)^((1)/(3)) then f'(-1) is