
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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![Use the formula
+ sin mh
sin h + sin 2h + sin 3h +
...
cos (h/2) – cos ((m + (1/2))h)
2 sin (h/2)
to find the area under the curve y = sin x from x = 0 to x = 1/2
in two steps:
a. Partition the interval [0, T/2] into n subintervals of equal
length and calculate the corresponding upper sum U; then
b. Find the limit of U as n →∞ and Ax
(b – a)/n→0.](https://content.bartleby.com/qna-images/question/dc4d5c09-0e94-4581-be2c-5e9cdf95b4d4/42c4b3c3-0dda-4d48-ac1c-b1e3f78f6ccc/y2mlo7e.png)
Transcribed Image Text:Use the formula
+ sin mh
sin h + sin 2h + sin 3h +
...
cos (h/2) – cos ((m + (1/2))h)
2 sin (h/2)
to find the area under the curve y = sin x from x = 0 to x = 1/2
in two steps:
a. Partition the interval [0, T/2] into n subintervals of equal
length and calculate the corresponding upper sum U; then
b. Find the limit of U as n →∞ and Ax
(b – a)/n→0.
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