Question 7. (i) Show that (V3+24 du = 2V3+2u+3 du u uv3+2u Hint: to prove that J f (x) dx = P(x) - S g(x) dx , you may want to try a proof for S(f (x) +g(x) ) dx= P(x). (ii) Suppose we introduce F(u) and G(u) as: S( V3 + 24) ) du = F(u), and V3+2u = G(u) u Find the integral of du u V3+ 2u in terms of a F(u) + b G(u), where a, b are two real number constants. Hint: applying the relation given in (i) . (iii) Calculate the following derivative: du a (2V3+ 2 u ) . du (iv) Let a new variable x be introduced as x =3+2u . Show that =x , and dx (V3+24) du = S 2 x 2 - dx u X - 3 Please do not proceed beyond the requirement of this question. // Note: For Question 7, the Fundamental Theorem of Calculus may help you understand and validate