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Trigonometric Substitution and Solving for y

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Solution Summary

Trigonometric Substitution is demonstrated.

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1. Solve for :

Here we make a substitution of . With this substitution, . Then the integral becomes
. Here we use the trigonometric identity to get
. Then we convert secant and tangent into equivalent terms of sine and cosine and multiply by the reciprocal of the denominator to get
.
At this point we make another u substitution of with to get

.
This is still in terms of theta and we need to get back into terms ...

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