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Trigonometric Substitution

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Date Posted: 7/23/2008 9:08:04 PM  Status: Live
Trigonometric Substitution
Course Textbook Chapter Problem
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Question Details:
Prove that is equal to
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Date Posted: 7/23/2008 9:19:33 PM  Status: Live
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Response:

WTS:  

Use trig identity 1 - sin2x = cos2x

Let x = 2sinθ          x2 = 4sin2θ
dx = 2cosθ dθ













QED



Hope that helps!

Laerck's Comment:
Thanks for the help

When I post a solution I assume you have some level of mathematical sophistication. (For instance, if you post a question about differential equations, I'll assume you know how to take derivatives; if you post an algebra question, I'll try to provide more detail.) If anything doesn't make sense, feel free to PM me for clarification. No amount of degrees can prevent mistakes; if you find one in my work, please let me know.

In the time it took you to read that, the universe expanded by 300 trillion cubic light years :)




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