Double Integral of sin(x^2) on TI-89

[filter54321]

Homework Statement

$$\int\stackrel{9}{0}\int\stackrel{9}{y}sin(x^2)dxdy$$

Homework Equations

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.

 

[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?

 

[tnutty]

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

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

 

[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.