Multiple Choice Questions For each question, select all correct options. Please note that I went out of my way to say 'select all correct options' and not 'select the correct option'. MC1 Assume that f(x) and f'(x) are continuous on [0, 1] and differentiable on (0, 1). (a ) [ f( x )f' (* ) de = f(x)f'(all - [ f(2)" (2 )da (b ) [ f ( ) f' ( 2 ) do = f" (2 ) f (2 ) 1 0 - [ f ( ) ? do c ) ( f(alf' (x ) do - of(a)f'(all . - [ a(f( ) + f(a)f" (x ) ) da (d ) (f( )s' ( * ) da = = 1( 1 2 - f(0 ) - 1 (e) None of the above MC2 Decide if each given substitution transforms the given integral into the new integral. 2 2 (a) u = x2 changes 2 2 + 1 dx into du u+1 (b) u = x changes "dx into el du. (c) u = cos x changes (sin a) x ecosa dx into / e" du u+1 (d) u = 2 + 1 changes 25 + 1 dax into - du 2 (e) None of the above do as claimed