Question

What is the area bounded by the curves y=1/x^2 and y=0 , between x=2 and x=5?

Answer 1

Area bounded by the curves is `3/10`

Explanation:

We can have the area bounded by `y=1/x^2` and `y=0` between `x=2` and `x=5` by the integral

`int_2^5 1/x^2dx`

= `[-1/x]_2^5`

= `[-1/5+1/2]`

= `(-2/10+5/10)`

= `3/10`