MATH 121 Lecture 18: 7.2
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Math 121 section 7. 2 area between two curves. If you use the opposite order, you will get the same answer, except it will be negative. Find boundary points a,b if they are not given; Compute the definite integral of the difference a b xf xg dx. Note: if there is a crossing point, you need to divide the interval [a,b] into two pieces. Because the function curves change order after the crossing point. Example 1: find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. a). c). d). e). Sometimes, we will not be given the values for x. To find the boundary points just set the two equations equal and solve for x. Example 2: find the area between the curves. a). b). c). d).
