Help on these 3 (6-8) questions would be helpful

J2 tut ( The answer is a function of x). (6) (i) Show a verification that , todt = 0. (ii) Show a verification that [ todt = 0. (iii) Give an example of another function f for which [of(t) dt = 0 no matter what a is. Share that example on the forum. (iv) Finally, deduce a general property of all such functions f for which [of(t) dt = 0 no matter what the choice of a is. (7) Find fe ( + ) dz (e = 2.71...). (8) Find So (cos z + z) dz. equal to (0)