Thread: Integral Help!

Hey, can you show me how to do the integral for this question

(t^2)(e^(-t^3)


Thanks

Originally Posted by Mudd_101

Hey, can you show me how to do the integral for this question

(t^2)(e^(-t^3)


Thanks

Using the substitution , I leave it for you to show that

Can you continue with the calculations?

I almost got the answer but I'm negative off uhh I put my steps down their if you could Pleaassse look at them but uhh I'm new to integrals so I think they will be difficult to follow cuz I don't really know what I'm doing.

okay so I have t^2 e^u

u = -t^3
-3t^2 dt = du
t^2 dt= (-1/3)du

so then I have: (-1/3)du *e^u
then I did the integral of e^u (leaving behind the -1/3 from the du)
(-1/3) ((e^(-t^3))/(-1))

The answer in my text is (-1/3)((e^(-t^3))

Originally Posted by Mudd_101

I almost got the answer but I'm negative off uhh I put my steps down their if you could Pleaassse look at them but uhh I'm new to integrals so I think they will be difficult to follow cuz I don't really know what I'm doing.

okay so I have t^2 e^u

u = -t^3
-3t^2 dt = du
t^2 dt= (-1/3)du

so then I have: (-1/3)du *e^u
then I did the integral of e^u (leaving behind the -1/3 from the du)
(-1/3) ((e^(-t^3))/(-1))

The answer in my text is (-1/3)((e^(-t^3))

I'm not sure how you got that -1...

When you evaluate , you end up with . Now back substitute to get

ooo thanks