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Find the exact value of $\int_{0}^{2} \tan^{-1}\left(\tfrac{1}{2}x\right)\,dx$ by using integration by parts.
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: “Start the integration and arrive at an expression like $a x\tan^{-1}(\frac{x}{2})+b\int\frac{1}{c+x^2}\,dx$” …
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