[" 30.If "int(dx)/((x^(2)-2x+10)^(2))],[=A(tan^(-1)((x-1)/(3))+(f(x))/(x^(2)-2x+10))+C]

"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

"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(x^(2)-1)/((x^(4)+3x^(2)+1)tan^(-1)(x+(1)/(x)))dx=

(i) int(dx)/(sqrt(a^(2)-x^(2)))=(1)/(a)sin^(-1)((x)/(a))+c (ii) int(dx)/(a^(2)+x^(2))=tan^(-1)((x)/(a))+c (iii) int(x+1)/(x^(2)+2x+1)dx=(1)/(2)log|(x^(2)+2x+1)| (iv) int(dx)/(x(x-1))dx=log|(x-1)/(x)|+c State which pair of the statement given above is true.

Evaluate: int(1)/((x^(2)+2x+10)^(2))dx

int(1)/(1+3cos^(2)x)dx=(1)/(2)tan^(-1)((tan x)/(2))+c

int((x-1)^(2))/((x^(2)+1)^(2))dx=tan^(-1)x+f(x)+c then f(x)=....

int(dx)/(x^(2)+2x+2) equals (A) x tan^(-1)(x+1)+C (B) tan^(-1)(x+1)+C