7. Evaluate the following integrals: a) 2e-3e-2x dx 8 log40 b) de (Hint: change of base) (Hint: expand first) 8. Find the following derivative: a) y = (In x)/anx) (Hint: logarithmic differentiation) b) Solve the initial value problem: = 1 - ex, y(1) = -1 and y' (1) = 0 9. Evaluate the following integrals: a) 2x dx (Hint: rewrite using change of base first)