(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[itex]\int_{0}^{8} \int_{y^{1/3}}^{2} \frac{1}{x^4+1} dxdy[/itex]

2. Relevant equations

Completing the square.

3. The attempt at a solution

This integral is disgusting. It literally took me 4 sheets of paper to do the partial fraction decomposition and then integrate the inner integral giving me an expression involving ln(compicated y expression) + ln(a number) + 1/2arctan(more garbage) + 1/2arctan(even more garbage).

Now I have an even more complicated integral to do and I have no clue how to approach it as I've never integrated arctan and integrating ln is nuts.

Any pointers on this one?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Extremely difficult double integral.

**Physics Forums | Science Articles, Homework Help, Discussion**