Generalisation. The mathematical expectation of the sum of n random variables is equal to the suni of their expectations, provided all the expectations exist. Symbolically, if X1, X2, ., X, are random variables them E (X1 + X2+ ... + X,) = E (X1) + E (X2) + + E (X,) 11 E(E x = 2 E (X), if all the expectations exist. E E (X;), if all the expectations exist. i = 1 %3D or i = 1

Q: 6. Evaluate when; x = -1 x3-5x²+x² II

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Q: Note: This is a Calculus 3 question.

A: We can use the properties of double integration in order to solve the given problem.

Q: 1. Show that dr

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