Hey, got a revision sheet question I cant seem to get right heres what I have:

between limits 1 and 0 find the integral of: 3x^2.e^x/2.dx

my working:

u.v-integral v.du/dx

e^x/2.x^3 - integral x^3.1/2e^x/2

=(e^x/2.x^3 - 1/4x^4.e^x/2) between 1 and 0

= 1.237

but the correct answer is down as 15.78

any help would be appreciated