Techniques of Integration - Integration by Substitution

Techniques of Integration - Integration by Substitution

\(\displaystyle\displaystyle \displaystyle\int_{0}^{\frac{1}{2}}{4{{u}^{2}}\sqrt{1-4{{u}^{2}}}\mathrm{d}u}\), let \(2u=\cos x\)

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Answer:\(\frac\pi{32}\)

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