Evaluate the definite integral. S e³t i i+e¹j+t k dt k) di e³ - 0²²=1 - (0²-1) + ・(e-1 3 ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 3 i − e¯¹ j + - 1 - k 2 - ○ e³¹ ²² ¹² i − (e²¹ − 1 ) j + 1/2 k - 3 ○ (e³ − 1) i − (e−¹ − 1) j + 1/2 O k - - ○ e³¹ ²¹ ¹² i + (e−¹ − 1) j + ½-½ k 3 2

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 53PS
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Evaluate the definite integral.
1
L' (₁²³² i +
3t
e³t i+e¹j+t kdt
+1 k) dr
ㅇ e³ - 1
3
-
(e-¹ − 1) + 1/1/
-
1
Oi-e²¹j+ k
i − e¯¹ j +
3
-
0²²-²1-68²-1)3 3 *
i − (e¯¹ − 1) j + k
○ (e³ − 1) i − (e-¹ − 1) j + 1/2
− –
k
-
1
-
○ e³¹ = − ¹² ₁ + ( e ²¹ − 1 ) j + 1/2 k
i
-
3
Transcribed Image Text:Evaluate the definite integral. 1 L' (₁²³² i + 3t e³t i+e¹j+t kdt +1 k) dr ㅇ e³ - 1 3 - (e-¹ − 1) + 1/1/ - 1 Oi-e²¹j+ k i − e¯¹ j + 3 - 0²²-²1-68²-1)3 3 * i − (e¯¹ − 1) j + k ○ (e³ − 1) i − (e-¹ − 1) j + 1/2 − – k - 1 - ○ e³¹ = − ¹² ₁ + ( e ²¹ − 1 ) j + 1/2 k i - 3
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