Question

Indefinite integral?

evaluate this indefinite integral.
Integral (1+3t) t^2 dt

Answer 1

what theorem am I supposed to use here?

Answer 2

You could take it apart and integrate separately?
\[\LARGE \int~(1+3t)~dt~*~\int~t^2~dt\]

Answer 3

distribute the integrand
\[\int (1+3t)(t^2) dt=\int (t^2 +3t^3)dt\]
take integral term by term.
Dat sit, why do you need a theorem to solve it?

Answer 4

^That works too xD

Answer 5

Sorry, haven't done real integrating in about a year ._.

Answer 6

I am a little confused, how did you get t^2/3 + C , I mean what happened to the "3t^2" ??

Answer 7

And I'm sorry I thought I needed a theorem thats what they were telling me but I didn't know how

Answer 8

Ok, let me redo it for you
\[\int (1+3t)(t^2) dt=\int (t^2 +3t^3)dt\\=\frac{t^3}{3}+\frac{3t^4}{4}+C\]

Answer 9

Ok now I understand. thank you!! can you help me with one more integral??

Answer 10

just post. I am not sure if I can help or not.

Answer 11

ok

Answer 12

thanks anyways!!