If `int_0^ooe^(-x^2) dx=(sqrtpi)/2 `, then `int_0^ooe^(-ax^2) dx ` where ` a gt 0` is: (A) `(sqrtpi)/2` (B) `(sqrtpi)/(2a)` (C) `2(sqrtpi)/a` (D) `1/2(sqrt(pi/a))`

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

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

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

If int_(0)^(oo)e^(-x^(2))dx=(sqrtpi)/(2)," then " int_(0)^(oo)e^(-ax^(2))dx,agt0 is

Evaluate : int_0^ooe^(-x)dx

If int_0^ooe^(-ax)dx=1/a , then int_0^oo(x^n)e^(-ax)dx is

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

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

If int_ (0)^(oo) e^(-x^(2)) dx = (sqrt (pi))/(2), and int_ (0)^(oo) e^(-ax^(2) ) dx, a> 0 is (i) (sqrt (pi))/(2) (ii) (sqrt (pi))/(2a) (iii) 2 (sqrt (pi))/(a) (iv) (1)/(2) sqrt ((pi)/(a))