- #1

Ivegottheskill

- 11

- 0

I(t) = I*cos(omega*t)

I keep getting stuck with an answer of I*t*sin(omega*t)

Can't find anything on the standard table of integrals that would indicate this is incorrect

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- Thread starter Ivegottheskill
- Start date

- #1

Ivegottheskill

- 11

- 0

I(t) = I*cos(omega*t)

I keep getting stuck with an answer of I*t*sin(omega*t)

Can't find anything on the standard table of integrals that would indicate this is incorrect

- #2

Fermat

Homework Helper

- 872

- 1

How did you get the answer of I*t*sin(omega*t)

- #3

schattenjaeger

- 178

- 0

omega's just a constant then? I'll call it a

I*cos(at)

I's a constant too, so you'll only integrat cos(at)

which should be sin(at)/a

so I*sin(omega*t)/omega?

Other possibility, since I'm not sure myself, is that you can express omega as a function of time, can't you? (2pi*frequency)and frequency is like 1/t or something. I dunno, I think the first way's right

Edit: Wait, I isn't a constant, well whatever, I'll leave this post up here for learning purposes but methinks it's rubbish

- #4

Fermat

Homework Helper

- 872

- 1

That looks correct. I wasn't sure what you were integrating.so I*sin(omega*t)/omega?

omega isn't a funtion of time - it is a constant.

omega is only a funtion of time if it varies with time.

frequency isn't a

- #5

Nylex

- 552

- 2

schattenjaeger said:Edit: Wait, I isn't a constant, well whatever, I'll leave this post up here for learning purposes but methinks it's rubbish

That I is a constant - it's the value of the current at time t = 0 (usually).

- #6

Ivegottheskill

- 11

- 0

Thanks I'll give that a shot. Sorry for the confusion, omega was a constant (angular frequency). I'm worried about how much high school stuff I've already forgotten

I wasn't sure how to properly intergrate in that case.

I tried looking it up, but could only find the simple cases (i.e. integrate sin x = cos x)

I wasn't sure how to properly intergrate in that case.

I tried looking it up, but could only find the simple cases (i.e. integrate sin x = cos x)

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