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

int(dx)/(sqrt(a^(2)-x^(2)))=sin^(-1)(x/a)+C

" 3.(a) "int(dx)/(sqrt((x-2)^(2)+1))

Evaluate: (i) int(1)/(sqrt(a^(2)-b^(2)x^(2)))dx (ii) int(1)/(sqrt((2-x)^(2)+1))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.

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

Evaluate the integerals. int (dx)/(sqrt(2x-3x^(2)+1))

If int (dx)/(sqrt(a^(2)-x^(2)))=k cos^(-1)""(x)/(a)+c then the value of k is-

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

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

int(dx)/(sqrt(x^(2)+2x+1))=A log|x+1|+C , x!=-1