Integration by part not working

[nysnacc]

Homework Statement

I have three integrals, from 0 to 1
∫ -4x⁵ e^x3-x4dt
∫ 3x⁴e^x3-x4dt
∫ 2te^x3-x4dt

Homework Equations

Looks like they are not integrable, as e^x3-x4 is not,
I tried by part, let say u =

The Attempt at a Solution

 

[Mark44]

Homework Statement

I have three integrals, from 0 to 1
∫ -4x⁵ e^x3-x4dt
∫ 3x⁴e^x3-x4dt
∫ 2te^x3-x4dt

Homework Equations

Looks like they are not integrable, as e^x3-x4 is not,
I tried by part, let say u =

The Attempt at a Solution

View attachment 108079

If you have written the integrals exactly as they were given, they should all be very easy. The variable of integration in all three is t (based on the dt part).

As an example, $\int e^x dt = e^x \int 1 dt = e^x (t + C)$

 

[nysnacc]

Oh, written wrong, should be dx,sorry

 

[Mark44]

Should the last one you listed be $\int_0^1 2xe^{x^3 - x^4}dx$?

Can you post a photo of the problems? I'm wondering if there's something you left out.

 

[nysnacc]

Yes, thanks I solved it tho, by recombine the parts in the integral and using by part