`int(dx)/(x^2+2x+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(x^2dx)/(4+x^2)

int_(-1)^(0) (dx)/( x^(2) + 2x+ 2) is equal to

I=int(dx)/((2a x+x^2)^(3/2))

"If" int(dx)/((x^(2)-2x+10)^(2))=A("tan"^(-1)((x-1)/(3))+(f(x))/(x^(2)-2x+10))+C ,where, C is a constant of integration, then

"If" int(dx)/((x^(2)-2x+10)^(2))=A("tan"^(-1)((x-1)/(3))+(f(x))/(x^(2)-2x+10))+C ,where, C is a constant of integration, then

Evaluate : int(2x+7)/(x^2 - x-2)dx

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

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

Evaluate: int(2x+5)/(x^2-x-2)\ dx