Question

what is the area of the region bounded by the curve y =1/x, the x-axis and between x = 1 to x = 6

Answer 1

Given : Curve => y = 1/x, x-axis and x from 1 to 6

To find : The area of the region bounded

Solution : Area = Area bounded by cure y = 1/x from x = 1 to x = 6

• Area = ∫1/x dx ( x from 1 to 6 )

= ln|x| ( x from 1 to 6 )

Area = ln6 - ln1 { ln1 = 0}

• Area = ln6

Hence, the area of the region bounded by the curve y =1/x, the x-axis and between x = 1 to x = 6 is ln6