Find the exact value for $\int_{0}^{2\pi} 2\tan^2\left(\frac{1}{2}x\right)\,dx$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rewrite the integrand as $2\sec^2\frac{1}{2}x - 2$” …