" B."quad int(dx)/(1-x-x^(2))

" (b) "int(log x)/((1+x)^(2))dx

If int_(0)^(b)(dx)/(1+x^(2))=int_(b)^(oo)(dx)/(1+x_(2)), then b=

If int_(0)^(b)(dx)/(1+x^(2))=int_(b)^( oo)(dx)/(1+x^(2)) , then b=

Show that (a) int_(e)^(e^(2))(1)/(log x)dx = int_(1)^(2)(e^(x))/(x)dx (b) int_(t)^(1)(dx)/(1+x^(2)) = int_(1)^(1//t)(dx)/(1+x^(2))

" (b) "int(tan^(-1)x)/(1+x^(2))dx

int_(a)^(b)(1)/(x^(2))dx

int (dx)/(x^(2)+x+1)dx is :

(i) int_0^1 (dx)/sqrt(1-x^2) (ii) int_0^1 (dx)/sqrt(1+x^2) (iii) a int_1^sqrt3 (dx)/(1+x^2) b int_0^1 (dx)/(1+x^2) (iv) int_0^(2//3) (dx)/(4+9x^2) (v) int_0^1 x/(x^2+1)dx (vi) int_2^3 x/(x^2+1) dx

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

" "int(1)/(a+b cos^(2)x)dx