" 10."x^(2)e^(3x)" ."

If x gt 0 then the sum of the series e^(-x) - e^(-2x) + e^(-3x) ......infty is

If int x^(2) e^(3x) dx = e^(3x)/27 f(x) +c , then f(x)=

If int x^(2) e^(3x) dx = e^(3x)/27 f(x) +c , then f(x)=

Coefficient of x^(10) in e^(3x) is

int x^2 e^(3x) dx=............ A) (1/3) x^2 e^(3x) - (2/9) x e^(3x) + (2/27) e^(3x) + c B) -(1/3) x^2 e^(3x) - (2/9) x e^(3x) + (2/27) e^(3x) + c C) (1/3) x^2 e^(3x) + (2/9) x e^(3x) - (2/27) e^(3x) + c D) (1/3) x^2 e^(3x) - (2/9) x e^(3x) - (2/27) e^(3x) + c

x>0, then the sum of the series e^(-x)-e^(-2x)+e^(-3x)-... is

x gt0 , then the sum of the series e^(-x)-e^(-2x)+e^(-3x)-... i s

If y=e^(x).e^(2x).e^(3x)…..e^(nx) , then (dy)/(dx) =

If y=e^(x).e^(2x).e^(3x)…..e^(nx) , then (dy)/(dx) =