21. [-/0.33 Points] DETAILS SCALCET8 5.2.005. MY NOTES ASK YOUR TEACHER The graph of a function f is given. 0 X 10 Estimate f(x) dx using five subintervals with the following. (a) right endpoints (b) left endpoints (c) midpoints22. [-/0.33 Points] DETAILS SCALCET8 5.2.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 88 sin( v x) dx, n = 4 Need Help? Watch It 23. [-/0.33 Points] DETAILS SCALCET8 5.2.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the limit as a definite integral on the given interval. lim [2(x, # ) 3 - 3x, " JAX, [2, 6] 1 - 0o i = 1 dx Need Help? Watch It 24. [-/0.33 Points] DETAILS SCALCET8 5.2.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the limit as a definite integral on the given interval. lim -Ax, [1, 6] n - 00 i = 1 ( x, * ) 2 + 8 dx29. [-/0.33 Points] DETAILS SCALCET8 5.2.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y = f( x) 2 X 0 2 4 6 8 ( a ) F ( x ) dx (b ) " R( x ) dx ( 0 ) ( "Fx ) dx (d ) ( x ) dx Need Help? Watch It25. [-/0.33 Points] DETAILS SCALCET8 5.2.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the form of the definition of the integral given in the theorem to evaluate the integral. ( 24 - 8 x ) dx Need Help? Watch It 26. [-/0.33 Points] DETAILS SCALCET8 5.2.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the form of the definition of the integral given in the theorem to evaluate the integral. ( x 2 - 4x + 5 ) dx 27. [-/0.33 Points] DETAILS SCALCET8 5.2.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the form of the definition of the integral given in the theorem to evaluate the integral. [ ( 4x 2 + 4X ) dx Need Help? Watch It30. [-/0.43 Points] DETAILS SCALCET8 5.2.034.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. 20 y = g(x) 10 X 0 20 35 10 (a) Jo g ( x ) dx ( b ) 30 10 9 ( x ) dx 35 ( c ) g ( x ) dx Need Help? Master It28. [-/0.33 Points] DETAILS SCALCET8 5.2.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 6 V 3 + x 2 dx lim n - 00 Need Help? Watch It