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Techniques of Integration - Reverse Chain Rule with Logarithmic and Radical Inner Functions

Techniques of Integration - Reverse Chain Rule with Logarithmic and Radical Inner Functions

\(\displaystyle \displaystyle\int{\frac{1}{\sqrt{x}\sqrt{1-\sqrt{x}}}}\,\mathrm{d}x\)

Solution:

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Answer:\(-4\sqrt{1-\sqrt x}+C\), for \(0<x<1\).

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