- #1
TsAmE
- 132
- 0
Homework Statement
Determine how large the number a has to be so that:
[tex]\int_{a}^{\infty} \frac{1}{1 + x^{2}} dx < 0.001[/tex]
Homework Equations
None.
The Attempt at a Solution
I tried to evaluate the left hand side and got a final answer of:
[tex]a > \frac{\pi}{2} - \frac{1}{1000}[/tex]
but the correct answer was 1000
I think these 2 steps in my working out might be the problem:
from [tex]tan(arctan(a)) > \frac{\pi}{2} - \frac{1}{1000}[/tex] to:
[tex]arctan(a) > \frac{\pi}{2} - \frac{1}{1000}[/tex]
[tex]a > \frac{\pi}{2} - \frac{1}{1000}[/tex]
Last edited: