Question

Integral of (x^2)/(e^x^3)

Answer 1

`I=\displaystyle\int(x^2)/(e^(x^3))\,\mathrm dx`

Substitute
`y=x^3` and
`\mathrm dy=3x^2\,\mathrm dx`. Then

`I=\displaystyle\frac13\int(\mathrm dy)/(e^y)=-\frac1{3e^y}+C=-\frac1{3e^(x^3)}+C`