int(dx)/(4u^(2)-1)

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

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

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

(i) int 1/(1+x^2/4) dx (ii) int 1/((x+2)^2+1) dx (iii) int (dx)/(4+9x^2)

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

Evaluate: (i) int(1)/(4+9x^(2))dx (ii) int(1)/(9x^(2)-4)dx (iiii) int(1)/(16-9x^(2))dx

int(1)/(9-4x^(2))dx

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

Let u=int_(0)^(1)(ln(x+1))/(x^(2)+1)dx and v=int_(0)^((pi)/(2))ln(sin2x)dx, thenu=-(pi)/(2)ln2(b)4u+v=0u+4v=0 (d) u=(pi)/(8)ln2