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\begin{aligned}\displaystyle\int_{\zeta} f(z)\,dz=2\pi i\left[i \left(\frac{1}{8\pi}+\frac{\pi}{24}\right)-\sum_{k\geq 1}\frac{(4k+2)i}{\pi(4k^2+4k)^2} \right]=2\pi i\left[i \left(\frac{1}{8\pi}+\frac{\pi}{24}\right)-\frac{i}{8\pi}\left]=-\frac{\pi^2}{12}
\begin{aligned}\displaystyle \left|\int_{h}f(z)\,dz \right|\leq \int_{0}^{1} 2n\left| f\big(n(1+2ti)\big) \right|\,dt\leq \sqrt{5}e^{-n\pi}\to 0
\displaystyle \int_{h'} f(z)\dz\to 0
\displaystyle \int_{w} f(z)\dz\to 0
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Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
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Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrong71