(i)[2]
Find the value of $\int \frac{2}{4x - 1} \, dx$.
(ii)[3]
Hence find $\int_{1}^{7} \frac{2}{4x - 1} \, dx$, giving your answer in the form $\ln a$, where $a$ is an integer.
Mathematics 9709 · AS & A Level · Integration
Find the value of $\int \frac{2}{4x - 1} \, dx$.
Hence find $\int_{1}^{7} \frac{2}{4x - 1} \, dx$, giving your answer in the form $\ln a$, where $a$ is an integer.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State an indefinite integral written in the form $k\ln(4x-1)$, with $k=2,4$ or $\tfrac12$.” …