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Find the area bounded by (a) y = (log)e|...

Find the area bounded by (a) `y = (log)_e|x|a n dy=0` (b) `y=|(log)_e|x||a n dy=0`

Text Solution

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(i) y`=log""_(e)|x|andy=0`

From the figure, required area = area of the shaded region = 1 + 1 =2 sq. units (as we know that area bounded by `y=log_(e)x, x= 0 and y= 0` is 1 sq. units)
(ii) `y=|log""_(e)|x||andy=0`

From the figure,
Required area = Area of the shaded region
= 1 + 1 =2 sq. units.
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