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JEE Mains · Maths · STD 12 - 8. Application and integration
The area bounded by the curve \(y = ln\, (x)\) and the lines \(y = 0, y = ln\, (3)\) and \(x = 0\) is equal to
- A \(3\)
- B \(3\, ln\, (3) -2\)
- C \(3\, ln\, (3) +2\)
- D \(2\)
Answer & Solution
Correct Answer
(D) \(2\)
Step-by-step Solution
Detailed explanation
To find the point of intersection of curves \( y=\ln (x) \text { and } y=\ln (3),\) \( \text { put } \ln (x)=\ln (3) \) \( \Rightarrow \ln (x)-\ln (3)=0\) \( \Rightarrow \ln (x)-\ln (3)=\ln (1) \) \( \Rightarrow \frac{x}{3}=1, \Rightarrow x=3 \) Required area…
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