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

Evaluate the following : int_(0)^(oo)x^(-1//2)dx

int_(1)^(oo)((x^(2)+3)dx)/(x^(6)(x^(2)+1))dx

int_(1)^(oo)((x^(2)+3)dx)/(x^(6)(x^(2)+1))

"int_(1)^(oo)((x^(2)+3)dx)/(x^(6)(x^(2)+1))

int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)e^(-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

If int_(0)^(oo) e^(-x^(2))dx=sqrt((pi)/(2))"then"int_(0)^(oo) e^(-ax^(2)) dx, a gt0 , s