Question

Help me integrate this?

Answer 1

sin(t^2)

Answer 2

i doubt you can find a nice closed form for
\[\int\sin(t^2)dt\]

Answer 3

I'm guessing integration by parts

Answer 4

But it will probably be very messy

Answer 5

matter of fact i am almost certain of it

Answer 6

I'll try a few things and see what I can come up with if I can ._.

Answer 7

ok well maybe I'm looking at the word problem incorrectly. It asks for distance traveled for a particle, where dx/dt = 2 + sin(t^2)

Answer 8

good luck, but i wouldn't spend too much time on it

Answer 9

and x(t) is x coordinate of position

Answer 10

domain is t >= 0, and at t=2 the object is at (3,5)

Answer 11

"dy/dt not explicitly given"

Answer 12

is x = position of the particle?

Answer 13

sooo if I wanted to find the distance traveled at t=4, what would I do?

Answer 14

yeah, x as a function of t

Answer 15

Hold on, I'll post a pic of the word problem, maybe that will help

Answer 16

ok

Answer 17

Ya I'm getting nowhere with integration by parts

Answer 18

Perhaps if you used a series expansion to approximate

Answer 19

Oh it's a function of x and y

Answer 20

it's a parametric function

Answer 21

Ah yes I see.. Hmm I haven't done much work with parametric equations

Answer 22

:( Im stuck