Here is an integral:  ∫(t + 1)/(√1 - t2) dt, where 0 < t < 1 what option gives the integral obtained by using the substituation u = arccos t?  1. ∫(- cos u - 1) du  2. ∫-(-cos u - 1)/(sin u) du  3. ∫-(-cos u - 1)/(sin u) dt  4. ∫-(t + 1)/(√1 - t2) du

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Here is an integral: 

∫(t + 1)/(√1 - t2) dt, where 0 < t < 1

what option gives the integral obtained by using the substituation u = arccos t? 

1. ∫(- cos u - 1) du 

2. ∫-(-cos u - 1)/(sin u) du 

3. ∫-(-cos u - 1)/(sin u) dt 

4. ∫-(t + 1)/(√1 - t2) du 

 

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