Standard +0.8 This is an improper integral requiring knowledge of the inverse tan standard integral, proper limit notation, and evaluation at infinity. While the integration itself is standard (arctan formula), the improper integral aspect and need for rigorous limit handling elevates it above routine A-level questions. It's a solid Further Maths question but not exceptionally difficult—competent students should recognize the form and execute correctly.
6 In this question you must show detailed reasoning.\\
Find $\int _ { 2 } ^ { \infty } \frac { 1 } { 4 + x ^ { 2 } } \mathrm {~d} x$.
\hfill \mbox{\textit{OCR MEI Further Pure Core 2019 Q6 [4]}}