21. [-/0.33 Points] DETAILS The graph of a function f is given. -1 10 Estimate 0 1 SCALCET8 5.2.005. f(x) dx using five subintervals with the following. (a) right endpoints (b) left endpoints (c) midpoints х MY NOTES ASK YOUR TEACHER 25. [-0.33 Points] DETAILS SCALCET8 5.2.021. Use the form of the definition of the integral given in the theorem to evaluate the integral. 9 (24 - 8x) dx Need Help? Watch It 26. [-/0.33 Points] DETAILS SCALCET8 5.2.022. Use the form of the definition of the integral given in the theorem to evaluate the integral. 9 L³ (+2 4x + 5) dx 27. [-/0.33 Points] DETAILS SCALCET8 5.2.023. Use the form of the definition of the integral given in the theorem to evaluate the integral. L₂ (4x² (4x² + 4x) dx Need Help? Watch It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 22. [-/0.33 Points] DETAILS SCALCET8 5.2.009. Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. [° 88 sin(x) dx, n = 4 Need Help? Watch It 23. [-/0.33 Points] DETAILS SCALCET8 5.2.019. Express the limit as a definite integral on the given interval. n lim [2(x*)³ - 3x*]Ax, [2,6] n→ ∞ i = 1 Need Help? Watch It 24. [-/0.33 Points] DETAILS dx SCALCET8 5.2.020. Express the limit as a definite integral on the given interval. n lim ☑ n→∞ i = 1 x* (x,*)² + 8 -Ax, [1,6] dx MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 28. [-/0.33 Points] DETAILS SCALCET8 5.2.029. Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 5 L √ ³ √ √ 3 + x ² d x lim n→ ∞ n i = 1 Need Help? Watch It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 30. [-/0.43 Points] DETAILS SCALCET8 5.2.034.MI. The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 20 20 10 (a) (b) 10 1.209 L309 10 g(x) dx g(x) dx (c) 35 √35 g(x) dx Need Help? y = g(x) Master It 20 20 35 ☑ MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 29. [-/0.33 Points] DETAILS SCALCET8 5.2.033. The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. (a) y y = f(x) 2 0 S 2 f(x) dx 5 (b) (c) л f(x) dx 7 f(x) dx (d) 9 S³ ³ f(x) dx 2 Need Help? Watch It 4 6 co 8 1 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 21. [-/0.33 Points] DETAILS The graph of a function f is given. -1 10 Estimate 0 1 SCALCET8 5.2.005. f(x) dx using five subintervals with the following. (a) right endpoints (b) left endpoints (c) midpoints х MY NOTES ASK YOUR TEACHER 25. [-0.33 Points] DETAILS SCALCET8 5.2.021. Use the form of the definition of the integral given in the theorem to evaluate the integral. 9 (24 - 8x) dx Need Help? Watch It 26. [-/0.33 Points] DETAILS SCALCET8 5.2.022. Use the form of the definition of the integral given in the theorem to evaluate the integral. 9 L³ (+2 4x + 5) dx 27. [-/0.33 Points] DETAILS SCALCET8 5.2.023. Use the form of the definition of the integral given in the theorem to evaluate the integral. L₂ (4x² (4x² + 4x) dx Need Help? Watch It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 22. [-/0.33 Points] DETAILS SCALCET8 5.2.009. Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. [° 88 sin(x) dx, n = 4 Need Help? Watch It 23. [-/0.33 Points] DETAILS SCALCET8 5.2.019. Express the limit as a definite integral on the given interval. n lim [2(x*)³ - 3x*]Ax, [2,6] n→ ∞ i = 1 Need Help? Watch It 24. [-/0.33 Points] DETAILS dx SCALCET8 5.2.020. Express the limit as a definite integral on the given interval. n lim ☑ n→∞ i = 1 x* (x,*)² + 8 -Ax, [1,6] dx MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 28. [-/0.33 Points] DETAILS SCALCET8 5.2.029. Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 5 L √ ³ √ √ 3 + x ² d x lim n→ ∞ n i = 1 Need Help? Watch It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 30. [-/0.43 Points] DETAILS SCALCET8 5.2.034.MI. The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 20 20 10 (a) (b) 10 1.209 L309 10 g(x) dx g(x) dx (c) 35 √35 g(x) dx Need Help? y = g(x) Master It 20 20 35 ☑ MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 29. [-/0.33 Points] DETAILS SCALCET8 5.2.033. The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. (a) y y = f(x) 2 0 S 2 f(x) dx 5 (b) (c) л f(x) dx 7 f(x) dx (d) 9 S³ ³ f(x) dx 2 Need Help? Watch It 4 6 co 8 1 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER