Topic: Engineering Mathematics
Find the area of the region bounded by the curves $y=x²$, $y=1/x$ and $x=1/2$ (see in graphical representative figure)
- A. $\ln 2 - 7/24$
- B. $\ln 2 + 7/24$
- C. $\ln 3 - 5/24$
- D. $\ln 3 + 5/24$
Answer: A. $\ln 2 - 7/24$
Explanation: To find the area bounded by $y = x²$, $y = 1/x$, and $x = 1/2$, we integrate the difference between the upper curve and the lower curve. Based on the provided solution, the integration simplifies to evaluating the bounds which yields $\ln 2 - 7/24$.