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Demonstrate that $\displaystyle \int_{1}^{4} x^{-\frac{3}{2}} \ln x\, dx = 2 - \ln 4$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use integration by parts to arrive at an expression of the form $a x^{\frac{1}{2}}\ln x+b\int x^{-\frac{1}{2}}\,dx$” …
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