CBenni
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 Feb 13 awarded Popular Question Oct 18 awarded Yearling Jan 22 awarded Custodian Jan 22 reviewed Approve About calculating Integrals Jan 22 comment About calculating Integrals @ThiesHeidecke That is not what I wanted. Of course you can try to approximate the specular highlight by sampling a single point on the ray, but that was not the Intention Jan 22 comment About calculating Integrals @swish oic. Too bad this is impossible. I will continue testing and try to find a solution, I will come back to this later. Jan 22 comment About calculating Integrals @swish you said it would Integrate... I dont believe so. Mathematica does not find a Integral for $e^{-cos^{-1}(u^2)}$, The resulting function would be way more complicated... Jan 22 awarded Commentator Jan 22 comment About calculating Integrals I will post this to Math.SE in the original form in order to get further assistance. This question is less Mathematica-oriented I fear Jan 22 comment About calculating Integrals @swish In fact, I have already made such an optimization to get only the third coordinate of H to change. Originally, $H(u)=\overrightarrow{a}+(\overrightarrow{b}-\overrightarrow{a})*u-\overrightarr‌​ow{x} + \overrightarrow{v}$. We modified the coordinate system in a way that made $\overrightarrow{b}-\overrightarrow{a}={0,0,v}$. If we were to change the coordinate system to make $H(u)={0,0,u*v}$, we would have to inversely transform x,l,n,v in every "step" of integration, which would be almost impossible I fear. Jan 22 comment About calculating Integrals @DanielLichtblau I will try this. However it will make integrating way harder, as there will be a few new variables? That makes simplifying not easier... Jan 22 revised About calculating Integrals added 4 characters in body Jan 22 comment About calculating Integrals @swish I am absolutely sure. This is an integral over specular lighting (Gauss Specular lighting) along a part of the z-axis. The formula is $e^{-\angle(H,L)^2}$ - I just realized I forgot the ^2 >_< Jan 22 asked About calculating Integrals Dec 25 accepted Preventing Numerical value from being evaluated Dec 24 comment Solving an Integral equation I found my typo in the third try (I thought that would not work, because it instantly threw dozens of errors at me) How do I improve the precision? AccuracyGoal and PrecisionGoal do not change the output? Dec 24 accepted Solving an Integral equation Dec 24 revised Solving an Integral equation added 214 characters in body Dec 24 comment Solving an Integral equation Oh I tried something similar aswell... I got a bunch of Infinite Expression errors however? I will add that to the OP Dec 24 asked Solving an Integral equation