`int``(dx)/(2x^(2)-x-1)`

int(1)/(2x^(2)-4x+1)dx

int(3x+1)/(2x^(2)+x-1)dx

int (x)/(x^(2)+2x+1)dx

If int(dx)/((x+2)(x^(2)+1)) = alog|1+x^(2)|+btan^(-1)x+ 1/5log|x+2|+C , then

Evaluate: int(dx)/((2x^(2)+1)sqrt(1-x^(2))

If I=int(dx)/(x^(2)-2x+5)=(1)/(2)tan^(-1)(f(x))+C (where, C is the constant of integration) and f(2)=(1)/(2) , then the maximum value of y=f(sinx)AA x in R is

int(1)/(2x^(2)+x+1)dx

int(x^2)/(x^(2)+1)dx

int(dx)/(sqrt(x^(2)+2x+1))=Alog|x+1|+C , x ne -1 then

int(2x-1)/(sqrt(x^(2)-x-1))dx