Homework SourseEstimate the area under the curve fx3xx on the interval 14 U
Estimate the area under the curve f(x)=3x+x on the interval [1,4]. Use a partition of 6 equal subdivisions and the right endpoint of each interval as the sample point
Solution
So the intervals are: [1, 1.5], [1.5,2], [2,2.5], [2.5,3], [3,3.5], [3.5,4]. I don\'t know why you wrote f as f(x) = 3x + x since it\'s just 4x. Anyway, using the right endpoint with the interval length as .5, Area = 4(.5)(1.5 + 2 + 2.5 + 3 + 3.5 + 4) = 2(16.5) = 31![Estimate the area under the curve f(x)=3x+x on the interval [1,4]. Use a partition of 6 equal subdivisions and the right endpoint of each interval as the sample](/WebImages/47/estimate-the-area-under-the-curve-fx3xx-on-the-interval-14-u-1147997-1761617500-0.webp "Estimate the area under the curve f(x)=3x+x on the interval [1,4]. Use a partition of 6 equal subdivisions and the right endpoint of each interval as the sample")
