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

(i) int 1/((x^2+1)(x^2+4)) dx (ii) int 1/((x^2+1)(x^2+2)) dx

Evaluate: int(x+1/x)^(n+5)((x^2-1)/x^2)dx

int((x+1)(x+2))/(x)dx=

inte^(x)((x-1)/(x^(2)))dx=

inte^x((x^2+1)/(x+1)^2)dx=

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

int(x+cot^(-1)x)((x^2)/(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

int(e^(x))/((1+x)^(3))dx-int(e^(x))/(2(1+x)^(2))dx=