# Integral of sin(x^2) TI-89

1. Nov 7, 2009

### filter54321

1. The problem statement, all variables and given/known data
$$\int\stackrel{9}{0}\int\stackrel{9}{y}sin(x^2)dxdy$$

2. Relevant equations

3. The attempt at a solution
I don't see where there's enough "stuff" to play with to get past the first integration. My TI-89 can't do it and sin(x2) isn't in my integrals tables.

Sorry about the LATEX issues. It's correctly presented now. I'm looking at my assignment and I'm 100% sure this is what the professor asked for.

Last edited: Nov 7, 2009
2. Nov 7, 2009

### rock.freak667

I can't really decipher your LaTex code, but ∫sin(x2) dx has no elementary anti-derivative.

so normally you can't compute it

$$\int \int sin(x^2) dxdy$$

One can't find this

though one can find

$$\int \int sin(x^2) dydx$$

Were you trying to compute a double integral by chance?

3. Nov 7, 2009

### tnutty

What you can do is reverse the integral, since dxdy = DA.

So swap the integral and find the volume with respect to dydx

4. Nov 7, 2009

### filter54321

The second part of the problem asks for a corresponding dydx double integral (and associated integration ranges) that would give you the same value once computed.