1.What is an integral? a) Use notation to define the integral formally as the limit of a Riemann sum. Label all the components of the integral (integral sign, limits of integration, integrand, differential). b) Use a sentence to describe an integral in words. (Hint: An integral is not defined as an area under a curve!) c) Provide a visual interpretation of the integral J f(x) dx. Draw this on a coordinate plane. 2. Find all the errors below and explain why they are incorrect. a) ( x + 1 )= = x- + 2x+1 = 3 +x-+x o o b) sin x cos x dx = sin x dx . cos x dx = - cos x sin x