MAT136H1 Lecture Notes - Lecture 1: Riemann Integral
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The basic idea of a definite integral (or riemann integral) is that we can approximate the area of shapes by using simple shapes whose area we already know. For example, say we have the shapes (and the area) of the shapes below. As seen in the third image, we can find the value of the area between the two using these shapes. This is the basic principle of integration: using shapes to find (the area of) other shapes that are harder to calculate for. This allows us to approximate for areas of any shape. As you can see in above, as we add more sides to the polygon (or n-gon ), the smaller the difference between the value of the area ( s ) of the circle and figure become. 2 a 2 + c 2 + x f dx x. How do we find b a f (x)dx.
