[Solution Library] (a) Approximate the definite integral ∫_1^5x^2dx by using a regular partition of [1, 2] with n = 4 subintervals, using the midpoint. (b)
Question: (a) Approximate the definite integral \(\int\limits_{1}^{5}{{{x}^{2}}dx}\) by using a regular partition of [1, 2] with n = 4 subintervals, using the midpoint.
(b) What is the actual value of \(\int\limits_{1}^{5}{{{x}^{2}}dx}\) ?
(c) What is the percentage error in your answer in part (a) compared to part (b)?
Deliverable: Word Document 
![[See Solution] Compute the Riemann sum using](/images/solutions/MC-solution-library-35599.jpg "[See Solution] Compute the Riemann sum using the right end point,")
[See Solution] Compute the Riemann sum using the right end point,
![[See Steps] Compute the Riemann sum using](/images/solutions/MC-solution-library-35600.jpg "[See Steps] Compute the Riemann sum using the right end point, for")
[See Steps] Compute the Riemann sum using the right end point, for
![[Solution Library] Compute the Riemann sum using](/images/solutions/MC-solution-library-35601.jpg "[Solution Library] Compute the Riemann sum using the left end point, for")
[Solution Library] Compute the Riemann sum using the left end point, for
![[Steps Shown] Compute the Riemann sum using](/images/solutions/MC-solution-library-35602.jpg "[Steps Shown] Compute the Riemann sum using the left end point, for")
[Steps Shown] Compute the Riemann sum using the left end point, for
Solution: Prove that
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