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\( \mid c t I=\int_{1}^{4} \frac{1}{x(4-\sqrt{x})} d x \)(i) Use the suhstitution \( u=\sqrt{x} \) to show that \( t=\int_{1}^{2} \frac{2}{u(4-u)} d u \).(ii) Hence show that \( I=\frac{1}{2} \ln 3 \). |
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Answer» Prove the above question
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