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 using the substitution u=1-x2 or trigonometric substitution.
![### Problem 14: Evaluate the Integrals
#### (a)
Evaluate the integral:
\[
\int_{0}^{1} \frac{dt}{(t^2 + 1)^{3/2}}
\]
#### (b)
Evaluate the integral:
\[
\int_{0}^{1} \frac{t \, dt}{(t^2 + 1)^{3/2}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6195f099-697f-489e-94ae-c77f1a063c08%2F14509587-f4c6-44c6-985d-82d0fe9b1ef8%2Fcghpn7p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 14: Evaluate the Integrals
#### (a)
Evaluate the integral:
\[
\int_{0}^{1} \frac{dt}{(t^2 + 1)^{3/2}}
\]
#### (b)
Evaluate the integral:
\[
\int_{0}^{1} \frac{t \, dt}{(t^2 + 1)^{3/2}}
\]
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