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

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

" (i) "int(dx)/(sqrt(4-x^(2)))

Evaluate: (i) int((x^(3) + 4x^(2) -3x -2))/((x+2)) dx , (ii) int((x^(4) +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(a^(x))/(sqrt(1-a^(2x)))dx (ii) int(2x)/(sqrt(1-x^(2)-x^(4)))dx

" 4.(i) "int(sin x)/(1-sin^(2)x)dx

I = int (dx)/( 4x^(2) + 25)

I= int (dx)/( 4-x^(2) - 4x) .

I=int(x)/(x^(4)-x^(2)+1)dx

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