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In this lection we will formally define the definite integral and give many of the properties of definite integrals. The main contents of this chapter include all of the following: The definite integra, the second fundamental theorem of calculus. | The Definite Integral Mathematics 53 Institute of Mathematics UP Diliman Instituteof Mathematics UP Diliman Definite Integral Mathematics 53 1 37 For today The Definite Integral The Second Fundamental Theorem of Calculus Instituteof Mathematics UP Diliman Definite Integral Mathematics 53 2 37 Area of a Plane Region Recall The area of the region bounded by the curve y X2 the x-axis and the vertical line X 2 was calculated using circumscribed rectangles. n Ar lim V Ai n i 1 n lim V f ci Ax n - v iy i 1 where Ci is the right endpoint of the ith subinterval. Instituteof Mathematics UP Diliman Definite Integral Mathematics 53 4 .
