Thread: Integration problem

Hello, I'm having difficulties with this indefinite integral:

(t^2)(e^4t) dt. Do I use a u/v substitution for this?

Thanks,

~CC

Originally Posted by calvin_coolidge

Hello, I'm having difficulties with this indefinite integral:

(t^2)(e^4t) dt. Do I use a u/v substitution for this?

Thanks,

~CC

First do integration by parts:

After this do ANOTHER integration by parts...and then you're left with an easy exponential integral.

Tonio

Originally Posted by calvin_coolidge

Hello, I'm having difficulties with this indefinite integral:

(t^2)(e^4t) dt. Do I use a u/v substitution for this?

Thanks,

~CC

let v=t^2 and du = e^4t dv=2t and u=e^4t/4



use derive by part again for the integral let

v=t and du=e^4t dv=1 and u=e^4t/4