Evaluate the flux F-dA for = (x+y)i + zk for S which is part of the surfacez =5-x-y above z 1, oriented "downwards". Hint: Consider breaking up the integral of a sum of terms into the corresponding sum of integrals and think about what is the simplest way to obtain the value of each integral. Sometimes these component integrals can be evaluated using symmetry arguments Always think before you brute force compute anything.