Determine whether or not the integral from 1 to infinity of

Determine whether or not the integral from (1 to infinity) of (x^2)(e^(-x^3)) dx converges or diverges. show your work. If it converges, evaluate the integral

do it by integration test :
put x³ = t

3x² dx = dt

: (dt/3)* e^-t

: (-1/3)e^-t : (-1/3)e^{-x^3}

put limits from x =1 to infinity

: (-1/3) [ 0 - 1/e ]

: 1/3e

as answer is finite quantity

hence it converges !!!

Determine whether or not the integral from (1 to infinity) of (x^2)(e^(-x^3)) dx converges or diverges. show your work. If it converges, evaluate the integralSo

Determine whether or not the integral from 1 to infinity of

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