Question

Challenging problem: how to integrate (1+4t^2+9t^4)^0.5 from 0 to 2

Answer 1

the question was: find the length of the curve with the parametric equations: x=t, y=t^2, z+t^3 from t=0 to t=2

Answer 2

prof said it could be done without any approximation methods

Answer 3

If your integral is correct (I dunno if it is or not, I'm a little rusty on parametric stuff lol) then you can complete the square on the t's, and make a trig substitution.
Mmmmmm I think that will work maybeeeeee, thinkingggg

Answer 4

Thats wolfram's solution

Answer 5

Ah ok, then perhaps something is wrong in the integral lol.
my bad :)

Answer 6

integral is correct. The prof gave us the integral too

Answer 7

maybe theres a trick for indefinite integrals lol?

Answer 8

hmm :o

Answer 9

have you tried completing the square and using a trig sub

Answer 10

might work... let me see

Answer 11

one of my friend said he tried it and didn't work.

Answer 12

it seems like the indefinite integral is almost impossible to solve. is there another method to find the length of a curve?

Answer 13

lol I didn't read zepdrix said the same suggestion
but yeah that answer wolfram contained had some nonelementary functions in the answer

Answer 14

have you guys worked with some nonelementary integrals before?

Answer 15

nope

Answer 16

there should be some easy way as it only took a minute for the prof to solve it

Answer 17

@sithsandgiggles is very awesome at integrals that seem to not be answerable

Answer 18

it might take 2 days for him to answer (could be less or more)
if you get an answer please let me know by posting it here because I'm interested if your prof really did solve this in like a minute or whatever

I will mention a few more people who might be able to do it
@ganeshie8
@Kainui

Answer 19

sure ill let you know

Answer 20

I'd to see your professor's work. I doubt very much s/he did it correctly if all the info given here is accurate.