Question

Integration:

Answer 1

First, you really want to split up the entire integral, then you should look at each resulting term individually.

Answer 2

2nd term looks like a pain

Answer 3

sorry, I added a + there

Answer 4

hehe a lot easier now (-:

Answer 5

lol, much better

Answer 6

\[\int3t^2\sin(t^3)+\cos(-t^2)(-2t)+t^4dt\]now it can all be done with u-subs

Answer 7

as everyone here is eager to laugh about :P

Answer 8

Yeah, u-sub really isn't my strong point, that combined with line integrals

Answer 9

Do you know what I should set u equal to?

Answer 10

always try setting it to the argument of the trig function and comparing it to what's on the outside
when the trig function is being multiplied by it's argument to one less than the original power (as it is here) that's a sure-fire u=(argument of trig function)
then you may have to mess with the constants a bit, which is what simple u-subs are all about

Answer 11

So if I set u=t^3 can I set a different u for the next trig part?

Answer 12

yes

Answer 13

break the integral up into problematic areas

Answer 14

\[\int3t^2\sin(t^3)dt+\int\cos(-t^2)(-2t)dt+\int t^4dt\]

Answer 15

Ok, so if I worked this correctly, set the first u=t^3 and the second one to u=-t^2, which solves to be (-cos(t^3)+sin(-t^2)+4t^3). Correct?