AP EAMCET · Maths · Area Under Curves
The area (in sq. units) bounded by the curves \(y=\frac{8}{x}\), \(y=2 x\) and \(x=4\) is
- A \(12-8 \log 2\)
- B \(12+8 \log 2\)
- C \(12-8 \log 4\)
- D \(12+8 \log 4\)
Answer & Solution
Correct Answer
(A) \(12-8 \log 2\)
Step-by-step Solution
Detailed explanation
The shaded region is the required area bounded by the curves \(\begin{aligned} & \text { Area }=\int_2^4\left(2 x-\frac{8}{x}\right) d x \\ & \text { Area }=\left[x^2-8 \log x\right]_2^4=[16-8 \log 4-4+8 \log 2]\end{aligned}\)…
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