AP EAMCET · Maths · Area Under Curves
The area bounded by the curve \(x=\log (|y|)\), the lines \(x=-1\) and \(x=0\) is
- A \(1-\mathrm{e}^{-1}\)
- B \(1-\mathrm{e}\)
- C \(2(1-\mathrm{e})\)
- D \(2\left(1-\mathrm{e}^{-1}\right)\)
Answer & Solution
Correct Answer
(D) \(2\left(1-\mathrm{e}^{-1}\right)\)
Step-by-step Solution
Detailed explanation
Given the curve \(x=\log |y|\) Graph of curves Required area \(=2 \int_{-1}^0 e^x d x=2\left(e^x\right)_{-1}^0=2\left(1-e^{-1}\right)\)
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