Evaluate the definite integral. L² (e¹² ¹i+e¯¹j + tk dt

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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Evaluate the definite integral.
L² (e¹¹² ₁ + 0 ² 1 + 1 k) d²
tk dt
e13
13
e13
O e13
-
13
–
−
(e¹³ — 1) i – (e−¹ – 1) j + ⁄½ k
13
O e13
1
·i – (e¯¹ − 1) j + — k
13 i - e¯¹¹j+
-
1
- i + (e¯¹ − 1) j + — k
13
1
k
− (e−¹ − 1) + 1/1/2
Transcribed Image Text:Evaluate the definite integral. L² (e¹¹² ₁ + 0 ² 1 + 1 k) d² tk dt e13 13 e13 O e13 - 13 – − (e¹³ — 1) i – (e−¹ – 1) j + ⁄½ k 13 O e13 1 ·i – (e¯¹ − 1) j + — k 13 i - e¯¹¹j+ - 1 - i + (e¯¹ − 1) j + — k 13 1 k − (e−¹ − 1) + 1/1/2
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