4.(a) Use integration by parts to find S 4x2 cos(4x) dx 4. (b) For each of the following integrals do not evaluate them - only state the f(x) and the g(x) that would be used in Integration by parts, (a) S 02 sin e de f(0) = g(0) = (b) S (1 + x ) 3 e 2x f(x) g(X) (c) SV1 -x2sin 'x dx f(x) g (X) = (d) S tan-1(x) dx f(x ) g(x) = (e) S x2 Inx dx f( x ) = g (X) =