(3) `int(dx)/(x^(2)+a^(2))=(1)/(a)tan^(-1)(x/a)+C`

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

If int(dx)/((x^(2)+1)^(2))=(A)/(148)tan^(-1)x+(1)/(2)(x)/(x^(2)+1)+C then A equals.......

int(dx)/(ax^(2)+bx+c)=k_(1)tan^(-1)(x+A)/(B)+C if

"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

int (tan^(-1)x)dx

If int(dx)/(e^(2x)+e^(-2x))=A/842tan^(- 1)e^(2x)+C then A equals ...

If int(dx)/((x+1)^(2)(x^(2)+2x+2))=(A)/(x+1)+B tan^(-1)(x+1)+C, where A and B are constants and C is the constant of integration, then |A-B| is equal to

int(1)/((1+x^(2))sqrt(tan^(-1)x))dx=?

If int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=klog|tan^(-1)""(x^(2)+1)/x|+c , then k is equal to