" (6) "(i)int((x^(2)-1)/(x^(2)+1))dx

(i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))dx (iii) int ((x^(4))/(1+x^(2)))dx , (iv) int((x^(2))/(1+x^(2)))dx

Evaluate: (i) int(1)/(a^(2)x^(2)-b^(2))dx (ii) int(x^(2)-1)/(x^(2)+4)dx

I=int(1-x^(2))/(x(1-2x))dx

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

If I=int x sqrt((x^(2)+1)/(x^(2)-1))dx ,then "I" equals

Evaluate: (i) int1/(a^2\ x^2-b^2)\ dx (ii) int(x^2-1)/(x^2+4)\ dx

Evaluate the integrals . I=int_(0)^(1) (x^(2))/(x^(2)+1)dx

Evaluate the following integrals. (i) int 1/((x - 2)^2 + 1)dx " " (ii) int (x^2)/(x^2 + 5)dx " " (iii) int 1/(sqrt(1 + 4x)^2)dx

(i) int(1)/((1+x^(2))tan ^(-1) x )dx " "(ii) int(e^(tan^(-1)x))/(1+x^(2))dx