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The area of the region enclosed by the c...

The area of the region enclosed by the curves `y""=""x ,""x""=""e ,""y""=1/x` and the positive x-axis is (1) `1/2` square units (2) 1 square units (3) `3/2` square units (4) `5/2` square units

Text Solution

Verified by Experts

area of 1 = `1/2 xx 1 xx 1 = 1/2`
area of 2 = `int x dx = int y dx`
`int_1^e 1/x dx`
`= ln x`
`= ln e = 1`
total area =`1/2 + 1 = 3/2 unit^2`
option 3 is correct
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