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Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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D. ( Please answer all )
D. Given
| (3t + 5) cos -dt. By using integration by parts, let u =
--(10) and dv =
Then, du
-(11) and v =
t
dt
-(12). Now, using the formula for the
- ----
said method, we obtain
(3t + 5) cos
4
-(13). Evaluating this integral gives
the answer
-(14).
1
t
a. 4(3t + 5) sin - / 12 sin -dt
f. (12t + 20) sin - + 48 cos - +C
4
4
+ 16 cos
4
t
+C
b. (4t + 5) sin
g. 3t + 5
fa.
Ja+z*)dz
(1+ x²)dx
t
h. cos –dt
с.
i. (3t + 5) sin - / 3 sin dt
i sin z+o
d. 3dt
4
1
e. 4 sin
sin x + cos x +C
j.
3
Transcribed Image Text:D. Given | (3t + 5) cos -dt. By using integration by parts, let u = --(10) and dv = Then, du -(11) and v = t dt -(12). Now, using the formula for the - ---- said method, we obtain (3t + 5) cos 4 -(13). Evaluating this integral gives the answer -(14). 1 t a. 4(3t + 5) sin - / 12 sin -dt f. (12t + 20) sin - + 48 cos - +C 4 4 + 16 cos 4 t +C b. (4t + 5) sin g. 3t + 5 fa. Ja+z*)dz (1+ x²)dx t h. cos –dt с. i. (3t + 5) sin - / 3 sin dt i sin z+o d. 3dt 4 1 e. 4 sin sin x + cos x +C j. 3
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