Nice Function

Calculus Level 5

Let I(b)=limnbn1+n2x2dx \displaystyle I(b)=\lim _{ n\rightarrow \infty }{ \int _{ b }^{ \infty }{ \frac { n }{ 1+{ n }^{ 2 }{ x }^{ 2 } } dx } } , where bb is a real number.

Let the sum of all the values I(x)I(x) can take be AA. Find A \lfloor A \rfloor .

×

Problem Loading...

Note Loading...

Set Loading...