Question

If f(x)=7/x^2, then what is the area enclosed by the graph of the function, the horizontal axis, and vertical lines at x=3 and x=4

Answer 1

`Area=(7)/(12)`

Explanation:

`Area=\int\limits^a_b {f(x)} \, dx =\int\limits^4_3 {(7)/(x^(2)) } \, dx =-7*(1)/(x)=-7(1/4-1/3)=(7)/(12)`