Find the area under the curve

Question

y=f(x) ln(x)/x^2 from x=1 to x=infinity ? 

 

 

Answer 1

y = ln x / x²

To find the area under the curve one have to integrate the given function with boundries 

Integrate by parts , assume u =ln x & v = 1/x²  ,u' = -1/x

So area under curve is 1 square units