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Determine the exact value of $\int_{0}^{1} x\tan^{-1}x\,dx$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Start integration by parts and reach $px^2\tan^{-1}x+q\int \frac{x^2}{1+x^2}\,dx$” …
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