The positive value of x satisfying the equation _x^1(1-t) d t= 1 2 is

Step-by-step solution

aligned & _x^1(1-t) d t= 1 2 [t- t^2 2 ]_x^1= 1 2 & [1- 1 2 -x+ x^2 2 ]= 1 2 & 1-2 x+x^2 2 = 1 2 (1-x)^2=1 & 1-x= 1 x=0,2 aligned There are 2 positive values of x satisfying the equation.