Question

Area bounded by the curve y = 1/x between the limits 1 and 2 is ________ 

(a) log 2 sq.units 

(b) log 5 sq.units 

(c) log 3 sq.units 

(d) log 4 sq.units

Answer 1

(a) log 2 sq.units

Area = \(\int\limits _1^2\)1/x dx

= \((logx)_1^2\)

= log 2 - log 1

= log 2(Since log 1 = 0)