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How to
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Antiderivative
E Infinity Integral
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Definite Integral
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5:29
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Dr Ben Yelverton
Integrating the square root of x/(a-x)
Evaluating the indefinite integral of sqrt(x/(a-x)) using a trigonometric substitution. I'll be using this result to derive an expression for the freefall timescale, or time taken for a cloud of gas to collapse under gravity, in a future video! About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy ...
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