Question

∫xe^x^3 dx
integration help

Answer 1

\[\huge \int\limits_{}^{} xe^{x^3} dx\]

Answer 2

u = x^3
du = 3x^2 dx
?

Answer 3

what would i write xdx as ?

Answer 4

\[\huge xdx = \frac{ 1 }{ 3 } du\]
?

Answer 5

That's not integration by parts, that's u substitution you are doing

Answer 6

oh... new to this part of integration x_x

Answer 7

Hmm this doesn't look solvable using normal methods.
Are you sure you posted the question correctly?

Have you learned about the `gamma function`?
Or is this just for a calculus class?

Answer 8

it's for calc 2.

Answer 9

Perhaps a power series solution?

Answer 10

Sham is this question in a book?

Answer 11

nope.

Answer 12

Make it up?

Answer 13

yep

Answer 14

Go away

Answer 15

noo i saw
xe^x^2
why is it soo hard to do xe^x^3

Answer 16

The problem is integrating e^x^3 if you won't do do integration by parts.

Answer 17

want to*

Answer 18

would substitution work then?

Answer 19

No, because you would need a factor of x^2 in front if you wanted to undo the chain rule.

Answer 20

and or do a substitution.

Answer 21

I do not know if you have done power series yet but a power series representation would be

x + x^4 + x^7/2 + x^10/6 + x^13/24

You could integrate from there and see what you get as a series.

Answer 22

:P

Answer 23

Ahhh I wish you would state that when you post the question! :(
`That you made it up`.

Integrals aren't nice and friendly like derivatives: you can't just make something up and expect it to have a simple solution.

If you had started with something instead like:\[\Large \int\limits x^3e^{x^3}\;dx\]Then yes you could do `by parts` on that.