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Compute the indefinite integral S t √4-t² dt.

Compute the indefinite integral S t √4-t² dt.

Calculus: Early Transcendentals
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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please show the steps to solve this problem. im trying to learn

3. Compute the indefinite integral \[ \int \frac{t}{\sqrt{4 - t^2}} \, dt. \]
Transcribed Image Text:3. Compute the indefinite integral \[ \int \frac{t}{\sqrt{4 - t^2}} \, dt. \]
Expert Solution
Step 1

Given

∫t4-t2dt

Let u=4-t2

differentiating with respect to t,

dudt=ddt(4-t2)

dudt=-2t

du-2=t dt

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