The sides of a triangle are `x^2+x+1,2x+1,a n dx^2-1` . Prove that the greatest angle is `120^0dot`

IF the sides of a triangle are x^2 + x+1 , x^2 -1 and 2x +1 then the greatest angle is

If the three angles in a triangle are in the ratio 1:2:3, then prove that the corresponding sides are in the ratio 1:sqrt3 :2 .

Evaluate: int_0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest integer function.

If in triangle the angles are in the ratio as 1:2:3 , prove that the corresponding sides are 1:sqrt(3): 2.

Find the value of x in [1,3] where the function [x^2+1]([dot] represents the greatest integer function) is discontinuous.

Evaluate: int_(-5)^5x^2[x+1/2]dx(w h e r e[dot] denotes the greatest integer function).

The integral int_0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest integer function, equals ...........

Find the value of int_(-1)^1[x^2+{x}]dx ,w h e r e[dot]a n d{dot} denote the greatest function and fractional parts of x , respectively.