14:36 9824BA . . VPN 67% TODO O + : 0 Eid 2022 9 A 248 2022 9 A 24 14:29 Compute Exercise 2 Exercise 6 Let A, B and C be three sets. Show that: 1. An(BUC)=(AnB)(AnC). Computedx. 2. AU(BOC) =(AUB)n(AUC). Exercise 7 Exercise 4 Exercise 9 Let A, B and C be three parts of a set E. Show that: Compute [ arctan(x) dx. 1. A=[An(BUC)][An(BC)]. 2. A = [An(BnC)][An(BUC)]. ~ ~ ... Exercise 13 Let A and B be two subsets of a set E: Exercise 15 1. Show that f(AnB) cf(A)of(B). Calculate , sin(In x) dx. 2. Show that if f is injective then f(An B) = f(A)of(B). N I - V