I'm trying to solve the following integral: $\iint\limits_D (10x^2+39xy+14y^2)^2 dxdy$ bounded by the lines: $2x+7y=1$, $2x+7y=-1$, $5x+2y=3$ and $5x+2y=-3$.
Now I'm new to calculus and do not know how to solve this kind of problem other than when say $x=a+by, x=c+by$, $y=0$ and $y=2$.
It doesn't look that advanced but I cannot find any similar examples. I'm expected to use Mathematica for the calculation.
Can I rotate the axes to simplify it? Or where do I start?