For each question, select all correct options.

MC3 Which equalities are valid? (a) dx = y dy 24 + 1 24 + 1 x y (b) dx = 24 + 1 dy 24 + 1 (c) t2 dt = (pony)2 dpony 3 3/6 (d) sin t dt = t2 dt Jo (e) None of the above. MC4 Select all true statements at ( xda = 2t' - t (b) There exists some C E R such that, for all x E R we have that sin x cost dt = C -T - V3-e5 10 (c) If f(x) dx = g(x) dx then f(x) = g(x) for all x E [7, 10]. IT (d) sin(y?) dy = 3x2 sin(x6) + sin(cos x) x sin x dx J cost (e) Regardless of f (x) we have that / f'(x) dx = f(x)