Answer :

The student's question is about estimating the value of an integral using the method of Riemann sums with four rectangles. This technique involves partitioning the interval into equal parts and summing the areas of rectangles with heights given by the function's value at each subinterval midpoint.

The student's question involves estimating the value of an integral using Riemann sums with a specified number of rectangles, which is a common technique in calculus to approximate the area under a curve. Specifically, the student is asked to approximate an integral using n = 4 rectangles, which requires partitioning the interval into four equal parts and then calculating the sum of the areas of rectangles formed at each partition. The height of each rectangle can be determined by evaluating the function at the midpoint or any other chosen point within the subinterval. To approximate the desired area, the student will need to calculate the width (egin{equation} ext{Ax} rac{b-a}{n} ext{and multiply it by the height of the function at the chosen points within the subintervals.}

In this case, it appears there might be a typo in the original question as it lacks the function to integrate and the interval's limits. Assuming the function and the limits were provided, the student would calculate the height of each rectangle, find each rectangle's area by multiplying the height by the width (egin{equation} ext{Ax} ext{and sum all the areas to get an approximation of the integral.}

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Rewritten by : Jeany