p(x)=3x^(2)-x,x=(-1)/(sqrt(3)),(2)/(sqrt(3))

check wheather the given values are zeros or not p(x)=3x^(2)-1,x=-(1)/(sqrt(3));(2)/(sqrt(3))

" (vii) f(x)=3x^(2)-1;x=(1)/(sqrt(3)),(2)/(sqrt(3))

Verify whether the following is zero of the polynomial, indicated against it : p(x)=3x^2-1,x=-1/sqrt3,2/sqrt3 .

int(1)/(sqrt(3x+2)+sqrt(3x+1))

Differentiate tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)),\ -1/(sqrt(3))

Differentiate tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)),\ -1/(sqrt(3))

int_(th x^(2)(x))^( If )((x+2)dx)/((x^(2)+3x+3)sqrt((x+1)))=(2)/(sqrt(3))[tan^(-1)((f(x)+1)/(sqrt(3)))+tan^(-1)((f(x)-1)/(sqrt(3)))]+c

Show that : Lt_(x to a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x))=(2)/(3 sqrt(3))