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**Runty** I swear, our Prof. must get shot at at least once a year for some of the crazy assignments he gives out. At least one student per year in his class must go insane. I digress, however.

These two double integrals (the material for which I'm trying to catch up to) are a lot more difficult than they look (or I made a mistake somewhere). I have the final answers due to an online website, but it doesn't give processes for definite integrals (which I'm trying to work out right now).

**a)** $\displaystyle \int_0^4 \int_{\sqrt{y}}^2 \frac{1}{1+x^3} dxdy$

Ans. $\displaystyle \approx 0.732408$

**b)** $\displaystyle \int_0^1 \int_x^1 \frac{x}{1+y^6} dydx$

Ans. $\displaystyle \approx 0.1309$

I'll put up work on this a bit later when I have more, but any help that could be provided would be appreciated.