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geerky42
If \(\large\displaystyle\int_2^k \dfrac{1}{x+2} dx = \ln 2\), find the value of \(\large k\).
you have a definite integral that when solved with give you the difference of two logarithms which when solved using algebra will yield k \[\left[ \ln \left| k + 2 \right| - \ln \left| 2 + 2 \right|\right] = \ln 2\]
combine the difference into a quotient than you can remove the logs and solve for k