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Find the area bounded by (i) y=log""(e...

Find the area bounded by
(i) y`=log""_(e)|x|andy=0`
(ii) `y=|log""_(e)|x||andy=0`

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To solve the given problem, we need to find the area bounded by the curves for both parts of the question. ### Part (i): Find the area bounded by \( y = \log_e |x| \) and \( y = 0 \) 1. **Identify the curves**: The curve \( y = \log_e |x| \) is defined for \( x \neq 0 \). It has two branches: one for \( x > 0 \) and one for \( x < 0 \). The curve approaches negative infinity as \( x \) approaches 0 from either side. 2. **Find the points of intersection**: We need to find where \( y = \log_e |x| \) intersects with \( y = 0 \). \[ ...
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