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

Statement-1: If int_0^oo e^(-ax)dx=1/a , then int_0^oo x^me^(-ax)dx=(lfloorm)/a^(m+1) ,Statement-2: d^n/dx^n(e^(kx))=k^n e^(kx) and d^n/dx^n(1/x)=((-1)^nlfloorn)/x^(n+1) (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Statement-1: If int_0^oo e^(-ax)dx=1/a , then int_0^oo x^me^(-ax)dx=(lfloorm)/a^(m+1) ,Statement-2: d^n/dx^n(e^(kx))=k^n e^(kx) and d^n/dx^n(1/x)=((-1)^nlfloorn)/x^(n+1) (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

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

If int_0^ooe^(-x^2) dx=(sqrtpi)/2 , then int_0^ooe^(-ax^2) dx where a gt 0 is:

int_0^(oo) x e^(-x) dx=

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

int x^(2)e^(ax)dx