Calculus Example: Integral of sqrt(tan(x))sec^2(x) with u-substitution

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Calculus Example: Integral of sqrt(tan(x))sec^2(x) with u-substitution

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Is there a real world problem that you would need to do this to solve it? I am trying to understand the practical usages of advanced Mathematics so I can try to apply it to daily life for practice. Thanks!

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