Question

Find the area bounded by the curve y=1/x between x=2 and x=6

Answer 1

See the attachment for detail solution.
Hope it will help you

Answer 2

ln (3) square units.

Step-by-step explanation:

Here, the given function is $y = \frac{1}{x}$ and we have to calculate the area between the ordinates x = 2 to x = 6.

So, A = $\int\limits^6_2 {\frac{1}{x} } \, dx$

{It is the area bounded by the curve itself at the top, x-axis at the bottom and the ordinates x = 2 and x = 6 at the two sides.}

⇒ A = $[\ln x]_{2} ^{6} = \ln 6 - \ln 2 = \ln \frac{6}{2} = \ln 3$ square units. (Answer)

{Since, we know the logarithmic property ln A - ln B = ln A/B}