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Determine the exact value of $\int_{1}^{4} \frac{\ln x}{\sqrt{x}}\,dx$.
Mathematics 9709 · AS & A Level · Integration
Determine the exact value of $\int_{1}^{4} \frac{\ln x}{\sqrt{x}}\,dx$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use integration by parts to obtain $x^{\frac{1}{2}}\ln x-m\int x^{-\frac{1}{2}}\,dx$, or an equivalent expression” …