Question on image # 5.1 Approximating the Area (2)1. **Objective:** Use the left and right hand sums to approximate the area under the curve of \( f(x) = x^2 + 1 \) on the interval \([-2, 3]\) using \( n = 5 \) rectangles. - **Left-Hand Riemann Sum:** - **Right-Hand Riemann Sum:****Explanation:**This task involves calculating the approximate area under a curve using Riemann sums. The function provided is \( f(x) = x^2 + 1 \) and the interval is from \(-2\) to \(3\). By dividing this interval into 5 rectangles (\(n = 5\)), you can use both left-hand and right-hand sums to estimate the area.- **Left-Hand Sum:** This method uses the left endpoint of each subinterval to determine the height of the rectangles.- **Right-Hand Sum:** This method uses the right endpoint of each subinterval to determine the height of the rectangles. Both methods provide an approximation, which can be compared to understand how the choice of method affects the estimation of the area under the curve.

Name: Question on image # 5.1 Approximating the Area (2)1. **Objective:** Us
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Question on image # 5.1 Approximating the Area (2)1. **Objective:** Use the left and right hand sums to approximate the area under the curve of \( f(x) = x^2 + 1 \) on the interval \([-2, 3]\) using \( n = 5 \) rectangles. - **Left-Hand Riemann Sum