Thread: Integral of (4t-2)*e^(t^2-t).

I wish to integrate (4t-2)*e^(t^2-t).

U=4t-2
du/dt = 4

dv=e^(t^2-t)
dv/dt = ?

Am I even on the right track?

We have:

which we can write as:


Now, let

(Do you see why this is a good substitution?)

What is the derivative of ?... is it somewhere in the integrand function?...



Marry Christmas from Serbia

int t^2-t = 2t-1

Do I then use Integration by parts with dv = ?

No, you don't need integration by parts. Have you done substitutions (in integration) before?
Let

Do you see how you can use this?

Thank you people - got it - U substitution.

2 int (2t-1)*e^(t^2-t) dt
= 2 int e^u du
= 2*e^u + c
= 2*e^(t^2-t) + c

Yes, that's correct.