`int_(3)^(oo)(3)/(x^(2)-1)dx`

Evaluate int_(0)^(oo)((3)/(x^(2)+1))dx

Evaluate int_(0)^(oo)[(3)/(x^(2)+1)]dx where [.] denotes the greatest integer function.

int_(0)^(oo)(1)/(3+x^(2))dx

int_(2)^(3)(dx)/(x^(2)-1)

int_(1)^(oo)(dx)/(x^(2))

int_(0)^(oo)((1)/(x^(2)+1))dx

int_(0)^(oo)x^(3)e^(-x^(2))dx=

int_(1)^(oo) (1)/(1+x^(2)) dx =

Evaluate the following integrals (i) int_(R)^(oo)(GMm)/(x^(2))dx (ii) int_(r_(1))^(r_(2))-k(q_(1)q_(2))/(x^(2))dx (iii) int_(u)^(v)Mvdv (iv) int_(0)^(oo)x^(-1//2)dx (v) int_(0)^(pi//2)sin x dx (vi) int_(0)^(pi//2)cos x dx (vii) int_(-pi//2)^(pi//2) cos x dx

int_(0)^(oo)(x)/(1+x^(4))dx=