`I=int(dx)/((2a x-x^2)

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

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

If I=int (dx)/((a^(2)-b^(2)x^(2))^(3//2)) , then I equals

(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(18x-x^(2)))

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

int(x)/(e^(x^(2)))dx

If I=int(dx)/(x^(4)sqrt(a^(2)+x^(2))) , then I equals

int(dx)/(x^(2)+2x+10)

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