Question

intergration of x^3 e^x^2?

Answer 1

come on sa-yui~you can do it~<support>! LOL

Answer 2

lol.,
put x^2 = u
then it will reduce to easy integration by parts :)

Answer 3

LOL

Answer 4

so do you just use u=x^2 for integration and then substitute again?

Answer 5

first tell me what u get after substituting u=x^2 ?

Answer 6

x^3 e^u?

Answer 7

when you substitute, you substitute entirely!
there should be no traces of 'x' left
so, you forst write
x^3 = x* x^2
also you will HAVE TO also find,
dx=.... ?
x^2 =u
so, du=... ?

Answer 8

I got 1/2, integral of ue^u du?

Answer 9

i get the same :)
now isn't this the simplest integration by parts problem ? :)

Answer 10

:D do you substitute u=x^2 first? or integrate u first?><

Answer 11

we have already substituted u=x^2
to get
0.5* integral u e^u du
now its time to integrate.

Answer 12

isn't it 1/2 (ue^u)? :S

Answer 13

answer after integration ? no0...
thats what you are integrating...
do you know what is integration by parts ?

Answer 14

wait I'll try....><

Answer 15

ok, take your time :)

Answer 16

:O it doesn't work;( how can you integrate ue^u? :/ sorry:/

Answer 17

what formula of integration by parts do you have ?
(actually there are 2,i want to know which one is taught to u)

Answer 18

oh! I got it now!:) thank you so much;)) I use the uv-integral v*dv/dx :)

Answer 19

v*du/dx I mean:)

Answer 20

oh, great! :)
if you want me to verify, you can tell me what you got...
oh, and since you are new here,
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Answer 21

1/2 e^x^2 (x^2 -1):) thank you;)

Answer 22

correct! good ;)
welcome ^_^