Integration by Parts homework assistance

[AryRezvani]

Homework Statement

∫x³e^5x2 dx

Homework Equations

uv-∫vdv

The Attempt at a Solution

I've tried this one a few times, but keep getting answers that are just out there. Could someone, if possible, work out just the beginning.

 

[Curious3141]

Homework Statement

∫x³e^5x2 dx

Homework Equations

uv-∫vdv

The Attempt at a Solution

I've tried this one a few times, but keep getting answers that are just out there. Could someone, if possible, work out just the beginning.

OK, just one hint to get you started. You should start by expressing the problem as:

\int (x^2).(xe^{5x^2})dx

 

[AryRezvani]

Hmm okay, got it.

So let's say U = x²
dU = 2x

dv = xe^5x2
V=1/10e^5x2

Then, plug into the equation, and you get...

(x²)(1/10e^5x2) - ∫(1/10e^5x2)2x dx

EDIT: Just got it, thanks a lot for your time :).

 

[Curious3141]

Hmm okay, got it.

So let's say U = x²
dU = 2x

dv = xe^5x2
V=1/10e^5x2

Then, plug into the equation, and you get...

(x²)(1/10e^5x2) - ∫(1/10e^5x2)2x dx

EDIT: Just got it, thanks a lot for your time :).

No worries.