int_(-2)^(2)(dx)/(1+|x-1|)

int_(1)^(2)(dx)/((x+1)sqrt(x^(2)-1))

int_(-1)^1(dx)/(1+x^2)

int_(-1)^(2)|x|dx=

int_(-1)^(2)|x|dx=

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))

If I_(1) = int_(1)^(2)(dx)/(sqrt(1+x^(2))) and I_(2)= int_(1)^(2) (dx)/(x) then

Evaluate int_(-1)^(1)(x^2)/(x^2+1)dx .

int_(-1)^(1)(dx)/((2-x)sqrt(1-x^(2)))