You will learn the definition of integration by Riemann sums. Then we will discuss the fundamental theorem of calculus to define the relation between integral and derivative.
Rules of calculation for integration - part 1
Speed is the derivative of distance travelled. Using the Fundamental Theorem of Calculus it follows that distance travelled is the integral of speed as a function of time. Using this example you will understand the rules of calculation for integration, when the integrand is multiplied by a constant or two integrands are added.
Summary about integration
What is the definition of integration ? How are integration and differentiation linked through the fundamental theorem of Calculus? What are the rules of calculation for evaluating integrals? This video gives the summary of week 6 of the edX course: pre-university Calculus (Calc001x).