Probability of few events in the form of integration as sum

Description
From this video tutorial we come to know that heat, energy and work are the same quantities with the different unites. Probability of few events e.g, the probability that your little brother gets hit by a dart, are calculated. Riemann sum, Simpson's rule and Trapezoidal rule of numerical integration are dicussed in this video.
Prof. Haynes Miller, Maths,18.01 Single Variable Calculus, Fall 2006: 22. Numerical Integration, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed July,11,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc