76 Part I: The Questions
Calculating Riemann Sums
Using Right Endpoints
523–526 Find the Riemann sum for the given
function with the specified number of intervals
using right endpoints.
523. f
 
(x) = 1 + 2x, 0 ≤ x ≤ 4, n = 4
524. f
 
(x) = x sin x, 2 ≤ x ≤ 6, n = 5. Round your
answer to two decimal places.
525. f x
x
( ) =
−1, 0 ≤ x ≤ 5, n = 6. Round your
answer to two decimal places.
526. f x
x
x
( ) = + 1
, 1 ≤ x ≤ 3, n = 8. Round your
answer to two decimal places.
Calculating Riemann Sums
Using Left Endpoints
519–522 Find the Riemann sum for the given
function with the specified number of intervals
using left endpoints.
519. f
 
(x) = 2 + x
2
, 0 ≤ x ≤ 2, n = 4
520. f x
x x
( ) =
+
3
, 1 ≤ x ≤ 4, n = 5. Round your
answer to two decimal places.
521. f
 
(x) = 4 ln x + 2x, 1 ≤ x ≤ 4, n = 7. Round your
answer to two decimal places.
522. f
 
(x) = e
3x
+ 4, 1 ≤ x ≤ 9, n = 8. Give your
answer in scientific notation, rounded to
three decimal places.