The function $$\(\mathrm{f}\)$$ is defined by $$\(\mathrm{f}(x)=\frac{2}{(x+2)^{2}}\)$$ for $$\(x>-2\)$$. Find $$\(\int_{1}^{\infty} f(x) d x\)$$ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_w20_qp_13 Year：2020 Question No：2(a)
Answer:
\(\frac{-2}{x+2}\)
\(0-\left(-\frac{2}{3}\right)=\frac{2}{3}\)
\(0-\left(-\frac{2}{3}\right)=\frac{2}{3}\)
Knowledge points:
1.8.3 evaluate definite integrals (Including simple cases of ‘improper’ integrals, such as)
Solution:
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